<?xml version="1.0" encoding="US-ASCII"?>
<!-- DFIN New ActiveDisclosure (SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date :2026-06-22T10:09:23.4574+00:00 -->
<!-- Copyright (c) 2026 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestAxis" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestAxis"/>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber" xlink:label="dei_EntityTaxIdentificationNumber"/>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanParticipantLoanMaturityDate" xlink:label="us-gaap-ebp_EmployeeBenefitPlanParticipantLoanMaturityDate"/>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/ebp/elts/us-gaap-ebp-2025.xsd#us-gaap-ebp_EmployeeBenefitPlanTaxStatusTable" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxStatusTable"/>
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          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2065Member" xlink:label="bmi_FidelityFreedom2065Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_MFSMidCapGrowthFundR6Member" xlink:label="bmi_MFSMidCapGrowthFundR6Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2030Member" xlink:label="bmi_FidelityFreedom2030Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardInstitutionalIndexFundMember" xlink:label="bmi_VanguardInstitutionalIndexFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_BairdCorePlusBondFundMember" xlink:label="bmi_BairdCorePlusBondFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardMid-CapValueIndexFundMember" xlink:label="bmi_VanguardMid-CapValueIndexFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedomIncomeMember" xlink:label="bmi_FidelityFreedomIncomeMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardEmergingMarketsIndexFundMember" xlink:label="bmi_VanguardEmergingMarketsIndexFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2040Member" xlink:label="bmi_FidelityFreedom2040Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_BadgerMeterIncCommonStockFundMember" xlink:label="bmi_BadgerMeterIncCommonStockFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_StateStreetMasterFunds-USGovernmentMoneyMarketMember" xlink:label="bmi_StateStreetMasterFunds-USGovernmentMoneyMarketMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_DodgeCoxStockFundMember" xlink:label="bmi_DodgeCoxStockFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2015Member" xlink:label="bmi_FidelityFreedom2015Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardExplorerFundMember" xlink:label="bmi_VanguardExplorerFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2060Member" xlink:label="bmi_FidelityFreedom2060Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2010Member" xlink:label="bmi_FidelityFreedom2010Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_GalliardStableValueFundCMember" xlink:label="bmi_GalliardStableValueFundCMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_EmployeeBenefitPlanCashEquivalentMember" xlink:label="bmi_EmployeeBenefitPlanCashEquivalentMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardSmall-CapValueINSMember" xlink:label="bmi_VanguardSmall-CapValueINSMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2020Member" xlink:label="bmi_FidelityFreedom2020Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardMid-CapIndexFundMember" xlink:label="bmi_VanguardMid-CapIndexFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2035Member" xlink:label="bmi_FidelityFreedom2035Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardSmall-CapIndexMember" xlink:label="bmi_VanguardSmall-CapIndexMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardFTSESocialIndexFundMember" xlink:label="bmi_VanguardFTSESocialIndexFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardTotalBondMarketIndexFundMember" xlink:label="bmi_VanguardTotalBondMarketIndexFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2055Member" xlink:label="bmi_FidelityFreedom2055Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_JPMorganLargeCapGrowthR6Member" xlink:label="bmi_JPMorganLargeCapGrowthR6Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2050Member" xlink:label="bmi_FidelityFreedom2050Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_GeneralInvestmentAccountMember" xlink:label="bmi_GeneralInvestmentAccountMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2045Member" xlink:label="bmi_FidelityFreedom2045Member"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardInternationalGrowthFundMember" xlink:label="bmi_VanguardInternationalGrowthFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_VanguardDevelopedMarketsIndexFundMember" xlink:label="bmi_VanguardDevelopedMarketsIndexFundMember"/>
          <link:loc xlink:type="locator" xlink:href="bmi-20251231.xsd#bmi_FidelityFreedom2025Member" xlink:label="bmi_FidelityFreedom2025Member"/>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additions:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Decrease from Payment to Participant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForPaymentToParticipant_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Benefits paid to participants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAllocationStatusDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Allocation Status [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTrusteeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Trustee [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTrusteeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charles Schwab</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Voting Rights [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan voting rights.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 2</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Galliard Stable Return Fund C [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, galliard stable return fund C.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Related Party and Party-in-Interest Transactions [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Period Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerContributionReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Employer Contribution, Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerContributionReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company contributions receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanFullyBenefitResponsiveInvestmentContractTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Fully Benefit-Responsive Investment Contract [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Forfeited Nonvested Account, Decrease from Employer Contribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccountDecreaseForEmployerContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, contributions were reduced by forfeitures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxStatusAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Tax Status [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Forfeited Nonvested Account</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanForfeitedNonvestedAccount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, unallocated forfeitures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Description of Plan [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Description of the Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Interest Income on Note Receivable from Participant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnNoteReceivableFromParticipant_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest income from participant receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentIdentifierAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Identifier [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Decrease from Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseForAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Administrative expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Description of Plan [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, contribution matching percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerContributionMatchingPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Employer Contribution, Matching Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentIssuerNameExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Issuer Name [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Fair Value and NAV [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_CommonStockAndMoneyMarketMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock and Money Market [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_CommonStockAndMoneyMarketMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock and money market.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_CommonStockAndMoneyMarketMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock and Money Market</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Related Party and Party-in-Interest Transactions [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Plan's Investment in Stock Fund</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Galliard Stable Return Fund C [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, galliard stable return fund C.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Galliard Stable Return Fund C</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Accounting Policy [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Voting Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Voting Rights [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan voting rights.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Asset Held for Investment [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Statement of Net Asset Available for Benefit [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Voting Rights [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan voting rights.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAllocationStatusAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Allocation Status [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanAdditionalContributionPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Additional Contribution Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanAdditionalContributionPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan additional contribution percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanAdditionalContributionPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, additional contribution percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Note Receivable from Participant, Account, Maximum Borrowing, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, note receivable from participant, account, maximum borrowing, amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanUnallocatedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Unallocated [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanUnallocatedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">EBP, Unallocated</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Collective Trust [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedBenefitPlanCommonCollectiveTrustMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collective Investment Trust</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Employer Contribution, Cash and Noncash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">EBP, Change in Net Asset Available for Benefit, Increase from Employer Contribution, Cash and Noncash, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForEmployerContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Decrease [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecreaseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deductions:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Note Receivable from Participant, Account, Minimum Borrowing, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMinimumBorrowingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, note receivable from participant, account, minimum borrowing, amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Payment to Participant [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanPaymentToParticipantPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payment of Benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Delinquent Participant Contribution [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Asset Held for Investment [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentRelatedExpensesNetAppreciationOfFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Investment Related Expenses Net Appreciation of Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentRelatedExpensesNetAppreciationOfFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">EBP, Investment related expenses net appreciation of fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentRelatedExpensesNetAppreciationOfFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment related expenses net appreciation of fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentTypeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Current Value, Type [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsContributionsWithdrawalsAge_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Participants Contributions Withdrawals Age</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsContributionsWithdrawalsAge_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan participants contributions withdrawals age.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsContributionsWithdrawalsAge_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, participants contributions withdrawals age</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Prohibited Transactions [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, prohibited transactions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Contribution For Defined Contribution Component Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan contribution for defined contribution component percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, contribution for defined contribution component percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment Valuation and Income Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanServiceEligibleToReceiveCompanyMatchContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Service Eligible To Receive Company Match Contribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanServiceEligibleToReceiveCompanyMatchContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan service eligible to receive company match contribution.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanServiceEligibleToReceiveCompanyMatchContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, service eligible to receive company match contribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Prohibited Transactions [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan prohibited transactions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prohibited Transactions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Accounting Policy [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Basis of Accounting [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanBasisOfAccountingPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Accounting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Description of Plan [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Employer, Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company's Common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Prohibited Transactions [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan prohibited transactions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Allowance For Credit Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">EBP, allowance for credit losses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Excluding Plan Interest in Master Trust, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transactions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Related Party and Party-in-Interest Transactions [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanMaximumNoticePeriodOfFullRedemptionOfFund_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Maximum Notice Period Of Full Redemption Of Fund</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanMaximumNoticePeriodOfFullRedemptionOfFund_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee Benefit Plan, maximum notice period of full redemption of fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanMaximumNoticePeriodOfFullRedemptionOfFund_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum notice period for full redemption of fund</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncrease_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Additions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 3</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Contribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustParticipationStatusExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Asset Held for Investment, Investment, Excluding Plan Interest in Master Trust, Participation Status [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentContractInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Investment Contract Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentContractInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee Benefit Plan Investment Contract Interest Rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentContractInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest rates earned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentSoldExcludingPlanInterestInMasterTrustSellingPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment Sold, Excluding Plan Interest in Master Trust, Selling Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentSoldExcludingPlanInterestInMasterTrustSellingPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Participant directed sale of shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsDirectContributionToInvestmentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Participants Direct Contribution To Investment Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsDirectContributionToInvestmentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan participants direct contribution to investment percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsDirectContributionToInvestmentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan participants direct contribution to investment percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Expense [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanExpensePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Statement of Net Asset Available for Benefit [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionExcludingRollover_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Participant Contribution, Excluding Rollover</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionExcludingRollover_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Participants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Contribution [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForContributionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contributions:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxDeterminationLetterDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Tax determination letter, date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxQualificationStatusExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Tax qualification status [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanDistributionsCanBeDelayedBalancesAmountGreaterThan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan distributions can be delayed balances amount greater than</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanDistributionsCanBeDelayedBalancesAmountGreaterThan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Distributions Can Be Delayed Balances Amount Greater Than</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanDistributionsCanBeDelayedBalancesAmountGreaterThan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan distributions can be delayed balances amount greater than.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanFullyBenefitResponsiveInvestmentContractTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Fully Benefit-Responsive Investment Contract [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanFullyBenefitResponsiveInvestmentContractTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Guaranteed Investment Contracts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Related Party and Party-in-Interest Transactions [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Excluding Plan Interest in Master Trust, Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">EBP, Investment, Excluding Plan Interest in Master Trust, Fair Value, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">EBP, Investment, Excluding Plan Interest in Master Trust, Fair Value, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">EBP, Investment, Excluding Plan Interest in Master Trust, Fair Value, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Use of Estimate [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanUseOfEstimatePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Use of Estimates in Preparation of Financial Statements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantLoanFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Participant Loan Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantLoanFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, participant loan fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantLoanFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Participant loan fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MutualFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mutual Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MutualFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mutual Funds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentAcquiredExcludingPlanInterestInMasterTrustCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment Acquired, Excluding Plan Interest in Master Trust, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentAcquiredExcludingPlanInterestInMasterTrustCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchased shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanScheduleOfAssetHeldTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Schedule of Asset Held [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanScheduleOfAssetHeldTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan schedule of asset held for investment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanScheduleOfAssetHeldTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule H Item 4(i)- Schedule of Assets (Held at End of Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Summary of Accounting Policy [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanSummaryOfAccountingPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Significant Accounting Policies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Fair Value and NAV [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_CommonStockAndShortTermCashEquivalentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock and Short term Cash Equivalents [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_CommonStockAndShortTermCashEquivalentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common Stock and Short term cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_CommonStockAndShortTermCashEquivalentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company's Common Stock and Short-term Cash Equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanDescriptionOfPlanAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Description of Plan and Accounting Change [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentParticipantLoanAfterDeemedDistribution_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Asset Held for Investment, Participant Loan, after Deemed Distribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentParticipantLoanAfterDeemedDistribution_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Participant Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Statement of Change in Net Asset Available for Benefit [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Note Receivable from Participant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipant_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes receivable from participants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Note Receivable from Participant, Account, Maximum Borrowing, to Total Account, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantAccountMaximumBorrowingToTotalAccountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, note receivable from participant, account, maximum borrowing, to total account, percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxDeterminationLetterObtained_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Tax determination letter, obtained [true false]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestTransactionsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Related Party and Party-in-Interest Transactions [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentAdvisorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Captrust</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentAdvisorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Investment Advisor [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentAdvisorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, Investment advisor.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanSubsequentEventPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Subsequent Event [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanSubsequentEventPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Events</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForInterestIncomeOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Interest Income on Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanEmployerMatchingContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Employer Matching Contribution Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanEmployerMatchingContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan employer matching contribution amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanEmployerMatchingContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, employer matching contribution amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentAdvisoryFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Investment Advisory Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentAdvisoryFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, investment advisory fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentAdvisoryFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment advisory fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionCorrected_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Delinquent Participant Contribution, Corrected</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionCorrected_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Fully Corrected Under FVCP and PTE 2002-51</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionCorrected_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Employee benefit plan, payroll contributions remitted outside 15-day requirement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Voting Rights [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanVotingRightsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee Benefit Plan Voting Rights [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanRiskAndUncertaintiesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Risk and Uncertainties [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanRiskAndUncertaintiesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">EBP, risk and uncertainties policy.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanRiskAndUncertaintiesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk and Uncertainties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNetAssetValuePerShareOrUnit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNetAssetValuePerShareOrUnit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Net Asset Value per Share or Unit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeCategorizationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment income:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase (Decrease) from Income (Loss) on Investment [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanUnfundedCommitments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Unfunded Commitments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanUnfundedCommitments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, unfunded commitments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanUnfundedCommitments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unfunded commitments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Galliard Stable Return Fund C [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, galliard stable return fund C.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlansProfitSharingContributionVestingDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plans Profit Sharing Contribution Vesting Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlansProfitSharingContributionVestingDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plans profit sharing contribution vesting description.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlansProfitSharingContributionVestingDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plans, profit sharing contribution, vesting description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanOtherRelatedPartyAndPartyInInterestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Other Related Party and Party-in-Interest [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanOtherRelatedPartyAndPartyInInterestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Party-in-Interest transactions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance at beginning of year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Net Asset Available for Benefit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance at end of year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNetAssetAvailableForBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net assets available for benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Fair Value and NAV [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Plan's Investments, Set Forth by Level within Fair Value Hierarchy, on Recurring Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanEligibleAgeToReceiveCompanyMatchContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Eligible Age To Receive Company Match Contribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanEligibleAgeToReceiveCompanyMatchContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan eligible age to receive company match contribution.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanEligibleAgeToReceiveCompanyMatchContribution_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, eligible age to receive company match contribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Asset Held for Investment [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Asset Held for Investment, Investment, Excluding Plan Interest in Master Trust, Current Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentInvestmentExcludingPlanInterestInMasterTrustCurrentValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Note Receivable from Participant [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanNoteReceivableFromParticipantPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes Receivable from Participants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Asset Held for Investment [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule H Item 4(i)- Schedule of Assets (Held at End of Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfAssetHeldForInvestmentTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule H Item 4(i)- Schedule of Assets (Held at End of Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanFullyBenefitResponsiveInvestmentContractAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Fully Benefit-Responsive Investment Contract [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanStatementOfNetAssetAvailableForBenefitTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Statement of Net Asset Available for Benefit [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net appreciation in fair value of investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase (Decrease) from Gain (Loss) on Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForGainLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">EBP, Change in Net Asset Available for Benefit, Increase (Decrease) from Gain (Loss) on Investment, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerContributionParticipantCompensationMatchedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, participants compensation percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanEmployerContributionParticipantCompensationMatchedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Employer Contribution, Participant Compensation Matched, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Statement of Change in Net Asset Available for Benefit [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Prohibited Transactions [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanProhibitedTransactionsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, prohibited transactions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlansProfitSharingContributionVestingRequisiteServicePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plans Profit Sharing Contribution Vesting Requisite Service Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlansProfitSharingContributionVestingRequisiteServicePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plans, profit sharing contribution, vesting, requisite service period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlansProfitSharingContributionVestingRequisiteServicePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plans, profit sharing contribution, vesting, requisite service period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Contribution For Defined Contribution Component</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan contribution for defined contribution component.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan contribution for defined contribution component</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsContributionPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Participants Contribution Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsContributionPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan participants contribution percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanParticipantsContributionPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, participants contribution percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Delinquent Participant Contribution [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Participant Contribution, Pretax, Maximum Annual Compensation to Total Compensation, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanParticipantContributionPretaxMaximumAnnualCompensationToTotalCompensationPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, participant contribution, pretax, maximum annual compensation to total compensation percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Money Market Funds [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanFullyBenefitResponsiveInvestmentContractLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Fully Benefit-Responsive Investment Contract [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanPlanNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Plan Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Fair Value and NAV [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LegalEntityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legal Entity [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EbpPlanName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Plan Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanRecordkeepingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recordkeeping fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanRecordkeepingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Recordkeeping Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanRecordkeepingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan recordkeeping fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase (Decrease) from Income (Loss) on Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total investment income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForIncomeLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total investment income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmpowerAnnuityInsuranceCompanyGuaranteedIncomeFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Empower Annuity Insurance Company Guaranteed Income Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmpowerAnnuityInsuranceCompanyGuaranteedIncomeFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Empower annuity insurance company guaranteed income fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmpowerAnnuityInsuranceCompanyGuaranteedIncomeFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Empower Annuity Insurance Company Guaranteed Income Fund</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentFairValueAndNavTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Fair Value and NAV [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionRollover_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Participant Contribution, Rollover</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForParticipantContributionRollover_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Roll overs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAccountingPolicyAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Accounting Policy, Accounting Standard Update, and Change in Accounting Principle [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Asset Held for Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">EBP, Asset Held for Investment, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Assets (Held at End of Year)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanNoteMaturitiesPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan note maturities period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanNoteMaturitiesPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Note Maturities Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanNoteMaturitiesPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan note maturities period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Tax Status [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxStatusTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Tax Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EBP009Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP 009 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EBP009Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">EBP 009</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EBP009Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">EBP 009.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanStatementOfChangeInNetAssetAvailableForBenefitAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Statement of Change in Net Asset Available for Benefit [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Schedule of Delinquent Participant Contribution [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee Benefit Plan Schedule of Delinquent Participant Contribution.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule H Item 4(a)- Schedule of Delinquent Participant Contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForDividendIncomeOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForDividendIncomeOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase from Dividend Income on Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseForDividendIncomeOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Dividends earned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanParticipantLoanInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Asset Held for Investment, Participant Loan, Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanParticipantLoanInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, asset held for investment, participant loan, interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Delinquent Participant Contribution [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule H Item 4(a)- Schedule of Delinquent Participant Contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule H Item 4(a)- Schedule of Delinquent Participant Contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInternalRevenueServiceSocialSecurityWageBase_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Internal Revenue Service Social Security Wage Base</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInternalRevenueServiceSocialSecurityWageBase_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan internal revenue service social security wage base.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInternalRevenueServiceSocialSecurityWageBase_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, IRS social security wage base</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Related Party and Party-in-Interest [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Galliard Stable Return Fund C [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanGalliardStableReturnFundCAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, galliard stable return fund C.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanRelatedPartyAndPartyInInterestAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Related Party and Party-in-Interest [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForRealizedGainLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase (Decrease) from Realized Gain (Loss) on Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecreaseForRealizedGainLossOnInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Realized gain on sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Decrease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total deductions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deductions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Delinquent Participant Contribution [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 1</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionLateRepaymentIncluded_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Schedule of Delinquent Participant Contribution, Late Repayment Included [true false]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxStatusLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Tax Status [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanParticipantLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Asset Held for Investment, Participant Loan, Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanParticipantLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee benefit plan, asset held for investment, participant loan, maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Change in Net Asset Available for Benefit, Increase (Decrease)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanChangeInNetAssetAvailableForBenefitIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net increase</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValueExcludingCollectiveInvestmentTrust_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan, Investment, Excluding Plan Interest in Master Trust, Fair Value, Excluding Collective Investment Trust</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValueExcludingCollectiveInvestmentTrust_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Employee benefit plan, investment, excluding plan interest in master trust, fair value, excluding collective investment trust.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValueExcludingCollectiveInvestmentTrust_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanTaxStatusTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Tax Status [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustContractValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Investment, Excluding Plan Interest in Master Trust, Contract Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustContractValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Guaranteed investment contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentPartyInInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">EBP, Asset Held for Investment, Party-in-Interest [true false]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap-ebp_EmployeeBenefitPlanAssetHeldForInvestmentPartyInInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">EmployeeBenefitPlanAssetHeldForInvestmentPartyInInterest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardCashReservesFederalMoneyMarketFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard cash reserves federal money market fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2065Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2065.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_MFSMidCapGrowthFundR6Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">MFS Mid Cap Growth Fund R6 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2030Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity Freedom 2030 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardInstitutionalIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard institutional index fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_BairdCorePlusBondFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Baird Core Plus Bond Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardMid-CapValueIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Mid-Cap Value Index Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedomIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom income.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardEmergingMarketsIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard emerging markets index fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2040Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2040.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_BadgerMeterIncCommonStockFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Badger Meter, Inc. Common Stock Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_StateStreetMasterFunds-USGovernmentMoneyMarketMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">State street master funds - U.S. government money market.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2040Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2040 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_DodgeCoxStockFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dodge &amp; Cox Stock Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2015Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2015 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardExplorerFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard explorer fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_BadgerMeterIncCommonStockFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Badger meter inc. common stock fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2060Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2060 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2010Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2010.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardCashReservesFederalMoneyMarketFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Cash Reserves Federal Money Market Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_GalliardStableValueFundCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Galliard Stable Value Fund C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_MFSMidCapGrowthFundR6Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">MFS mid cap growth fund R6.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanCashEquivalentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">EBP, Cash equivalent.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedomIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom Income [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardSmall-CapValueINSMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard small-cap value INS.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2020Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2020 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardMid-CapIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard mid-cap index fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2020Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2020.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2010Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2010 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_StateStreetMasterFunds-USGovernmentMoneyMarketMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">State Street Master Funds - U.S. Government Money Market [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardExplorerFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Explorer Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2035Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2035.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardSmall-CapIndexMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Small-Cap Index [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardFTSESocialIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard FTSE Social Index Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardTotalBondMarketIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Total Bond Market Index Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2055Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2055.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_JPMorganLargeCapGrowthR6Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">JPMorgan large cap growth R6.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardMid-CapValueIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard mid-cap value index fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardMid-CapIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Mid-Cap Index Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2050Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2050 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2060Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2060.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardSmall-CapValueINSMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Small-Cap Value INS [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_GeneralInvestmentAccountMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General Investment Account [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2045Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2045.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardInternationalGrowthFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard international growth fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardDevelopedMarketsIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Developed Markets Index Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2055Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2055 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_EmployeeBenefitPlanCashEquivalentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefit Plan Cash Equivalent [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2035Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2035 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardInternationalGrowthFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard International Growth Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardInstitutionalIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Institutional Index Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_JPMorganLargeCapGrowthR6Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">JPMorgan Large Cap Growth R6 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardFTSESocialIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard Ftse social index fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2030Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2030 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_GeneralInvestmentAccountMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">General investment account.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2025.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardTotalBondMarketIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard total bond market index fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2050Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2050.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2065Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2065 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardDevelopedMarketsIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard developed markets index fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2045Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fidelity Freedom 2045 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_GalliardStableValueFundCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Galliard stable value fund C.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_DodgeCoxStockFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Dodge &amp; cox stock fund.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardEmergingMarketsIndexFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanguard Emerging Markets Index Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_VanguardSmall-CapIndexMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanguard small-cap index.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_BairdCorePlusBondFundMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Baird Core Plus Bond Fund [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="bmi_FidelityFreedom2015Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fidelity freedom 2015.</link:label>
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  <xsd:element id="bmi_FidelityFreedom2025Member" name="FidelityFreedom2025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanProhibitedTransactionsTextBlock" name="EmployeeBenefitPlanProhibitedTransactionsTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_EmployeeBenefitPlanVotingRightsLineItems" name="EmployeeBenefitPlanVotingRightsLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2065Member" name="FidelityFreedom2065Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_VanguardFTSESocialIndexFundMember" name="VanguardFTSESocialIndexFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_VanguardTotalBondMarketIndexFundMember" name="VanguardTotalBondMarketIndexFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanServiceEligibleToReceiveCompanyMatchContribution" name="EmployeeBenefitPlanServiceEligibleToReceiveCompanyMatchContribution" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_VanguardMid-CapIndexFundMember" name="VanguardMid-CapIndexFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponentPercentage" name="EmployeeBenefitPlanContributionForDefinedContributionComponentPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_CommonStockAndShortTermCashEquivalentsMember" name="CommonStockAndShortTermCashEquivalentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanScheduleOfAssetHeldTextBlock" name="EmployeeBenefitPlanScheduleOfAssetHeldTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_VanguardSmall-CapIndexMember" name="VanguardSmall-CapIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2015Member" name="FidelityFreedom2015Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_GeneralInvestmentAccountMember" name="GeneralInvestmentAccountMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmpowerAnnuityInsuranceCompanyGuaranteedIncomeFundMember" name="EmpowerAnnuityInsuranceCompanyGuaranteedIncomeFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanProhibitedTransactionsTable" name="EmployeeBenefitPlanProhibitedTransactionsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2060Member" name="FidelityFreedom2060Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2020Member" name="FidelityFreedom2020Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2010Member" name="FidelityFreedom2010Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_VanguardDevelopedMarketsIndexFundMember" name="VanguardDevelopedMarketsIndexFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_MFSMidCapGrowthFundR6Member" name="MFSMidCapGrowthFundR6Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanProhibitedTransactionsLineItems" name="EmployeeBenefitPlanProhibitedTransactionsLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlansProfitSharingContributionVestingRequisiteServicePeriod" name="EmployeeBenefitPlansProfitSharingContributionVestingRequisiteServicePeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_FidelityFreedom2035Member" name="FidelityFreedom2035Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanAdditionalContributionPercentage" name="EmployeeBenefitPlanAdditionalContributionPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_DodgeCoxStockFundMember" name="DodgeCoxStockFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanGalliardStableReturnFundCLineItems" name="EmployeeBenefitPlanGalliardStableReturnFundCLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2050Member" name="FidelityFreedom2050Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2055Member" name="FidelityFreedom2055Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_VanguardCashReservesFederalMoneyMarketFundMember" name="VanguardCashReservesFederalMoneyMarketFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanRecordkeepingFees" name="EmployeeBenefitPlanRecordkeepingFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValueExcludingCollectiveInvestmentTrust" name="EmployeeBenefitPlanInvestmentExcludingPlanInterestInMasterTrustFairValueExcludingCollectiveInvestmentTrust" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTextBlock" name="EmployeeBenefitPlanScheduleOfDelinquentParticipantContributionTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_EmployeeBenefitPlanInvestmentRelatedExpensesNetAppreciationOfFairValue" name="EmployeeBenefitPlanInvestmentRelatedExpensesNetAppreciationOfFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_EBP009Member" name="EBP009Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanAllowanceForCreditLosses" name="EmployeeBenefitPlanAllowanceForCreditLosses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="bmi_EmployeeBenefitPlanInvestmentAdvisoryFees" name="EmployeeBenefitPlanInvestmentAdvisoryFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_EmployeeBenefitPlanParticipantsContributionPercentage" name="EmployeeBenefitPlanParticipantsContributionPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_GalliardStableValueFundCMember" name="GalliardStableValueFundCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanGalliardStableReturnFundCTable" name="EmployeeBenefitPlanGalliardStableReturnFundCTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlansProfitSharingContributionVestingDescription" name="EmployeeBenefitPlansProfitSharingContributionVestingDescription" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_FidelityFreedomIncomeMember" name="FidelityFreedomIncomeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanDistributionsCanBeDelayedBalancesAmountGreaterThan" name="EmployeeBenefitPlanDistributionsCanBeDelayedBalancesAmountGreaterThan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_EmployeeBenefitPlanGalliardStableReturnFundCTextBlock" name="EmployeeBenefitPlanGalliardStableReturnFundCTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_EmployeeBenefitPlanNoteMaturitiesPeriod" name="EmployeeBenefitPlanNoteMaturitiesPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_FidelityFreedom2040Member" name="FidelityFreedom2040Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanInternalRevenueServiceSocialSecurityWageBase" name="EmployeeBenefitPlanInternalRevenueServiceSocialSecurityWageBase" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_BadgerMeterIncCommonStockFundMember" name="BadgerMeterIncCommonStockFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_FidelityFreedom2030Member" name="FidelityFreedom2030Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_VanguardEmergingMarketsIndexFundMember" name="VanguardEmergingMarketsIndexFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanVotingRightsAbstract" name="EmployeeBenefitPlanVotingRightsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_StateStreetMasterFunds-USGovernmentMoneyMarketMember" name="StateStreetMasterFunds-USGovernmentMoneyMarketMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_VanguardSmall-CapValueINSMember" name="VanguardSmall-CapValueINSMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_JPMorganLargeCapGrowthR6Member" name="JPMorganLargeCapGrowthR6Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanEmployerMatchingContributionAmount" name="EmployeeBenefitPlanEmployerMatchingContributionAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_EmployeeBenefitPlanGalliardStableReturnFundCAbstract" name="EmployeeBenefitPlanGalliardStableReturnFundCAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanInvestmentAdvisorMember" name="EmployeeBenefitPlanInvestmentAdvisorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_VanguardMid-CapValueIndexFundMember" name="VanguardMid-CapValueIndexFundMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_CommonStockAndMoneyMarketMember" name="CommonStockAndMoneyMarketMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="bmi_EmployeeBenefitPlanVotingRightsTextBlock" name="EmployeeBenefitPlanVotingRightsTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="bmi_EmployeeBenefitPlanContributionForDefinedContributionComponent" name="EmployeeBenefitPlanContributionForDefinedContributionComponent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="bmi_EmployeeBenefitPlanParticipantLoanFees" name="EmployeeBenefitPlanParticipantLoanFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
</xsd:schema>
