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Percentage of Stock Price Trigger Geographical [Axis] Geographical [Axis] Cash paid for treasury stock under the stock repurchase program Payments for Repurchase of Equity Contract liability Contract with Customer, Liability Cash paid for taxes Income Tax Paid, before Refund Received Property, Plant and Equipment, Type [Axis] Long-Lived Asset, Class [Axis] Stock Price or TSR Estimation Method Stock Price or TSR Estimation Method [Text Block] Entity Tax Identification Number Entity Tax Identification Number Accounts Receivable, Allowance for Credit Loss [Roll Forward] Accounts Receivable, Allowance for Credit Loss [Roll Forward] Total interest expense Interest Expense, Debt Leverage ratio Ratio of Indebtedness to Net Capital Assets acquired: Business Combination, Recognized Asset Acquired, Asset [Abstract] Clear Aligner Treatment Plans Clear Aligner Treatment Plans [Member] Clear Aligner Treatment Plans Purchase of treasury shares Treasury Stock, Value, Acquired, Cost Method Beginning balance of cash and cash equivalents Ending balance of cash and cash equivalents Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation Change in trade accounts payable Increase (Decrease) in Accounts Payable Other Other Accrued Liabilities, Current Entity Incorporation, State or Country Code Entity Incorporation, State or Country Code Base Rate Base Rate [Member] Aggregate Erroneous Compensation Not Yet Determined Aggregate Erroneous Compensation Not Yet Determined [Text Block] Material Terms of Trading Arrangement Material Terms of Trading Arrangement [Text Block] Non-NEOs Non-NEOs [Member] Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year [Member] Business and Basis of Presentation Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block] Debt Instrument [Axis] Debt Instrument [Axis] Stock-based compensation expense Share-Based Payment Arrangement, Noncash Expense 2025 Convertible Notes 2.375% Convertible Senior Notes [Member] 2.375% Convertible Senior Notes [Member] Components of unamortized debt discount and issuance costs Schedule of Debt [Table Text Block] Customer [Domain] Customer [Domain] Schedule of Inventory Schedule of Inventory, Current [Table Text Block] Long-term Debt, Type [Domain] Long-Term Debt, Type [Domain] Schedule of derivative instruments in statement of financial position, fair value Schedule of Derivative Instruments in Statement of Financial Position, Fair Value [Table Text Block] Basic (in USD per share) Earnings Per Share, Basic Raw materials Inventory, Raw Materials, Gross Contract liabilities Contract with Customer, Liability, Current Total current assets Assets, Current Statistical Measurement [Axis] Statistical Measurement [Axis] Insider Trading Arrangements [Line Items] Derivative instruments, gain (loss) Derivative Instruments, Gain (Loss) [Table Text Block] Long-term debt Long-Term Debt, Excluding Current Maturities Award Type Award Type [Axis] Named Executive Officers, Footnote Named Executive Officers, Footnote [Text Block] Trade accounts receivable, less allowance for credit losses of $21.8 and $22.5, respectively Accounts Receivable, after Allowance for Credit Loss, Current Accumulated deficit Retained Earnings (Accumulated Deficit) Maturity, minimum amount outstanding Debt Instrument, Maturity, Minimum Amount Outstanding Debt Instrument, Maturity, Minimum Amount Outstanding Restructuring and Related Activities [Abstract] Restructuring and Related Activities [Abstract] Product and Service [Axis] Product and Service [Axis] Convertible debt, trading days (in trading days) Debt Instrument, Convertible, Threshold Trading Days Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table [Member] Awards Close in Time to MNPI Disclosures Awards Close in Time to MNPI Disclosures [Table] Common Stock Common Stock [Member] Fair Value Measurement [Domain] Fair Value Measurement [Domain] Foreign currency translation Accounts Receivable, Allowance For Credit Loss, Foreign Currency Translation Accounts Receivable, Allowance For Credit Loss, Foreign Currency Translation Compensation Actually Paid vs. Company Selected Measure Compensation Actually Paid vs. Company Selected Measure [Text Block] Cover [Abstract] Cover [Abstract] Percentage of consolidated EBITDA Debt Instrument, Accordion Feature, Percentage Of Consolidated EBITDA Debt Instrument, Accordion Feature, Percentage Of Consolidated EBITDA Contractual interest expense: Interest Expense, Debt, Excluding Amortization Concentration risk percentage Concentration Risk, Percentage Concentration Risk Benchmark [Axis] Concentration Risk Benchmark [Axis] Derivative Contract [Domain] Derivative Contract [Domain] Summary of Equity Security Investments Equity Securities without Readily Determinable Fair Value [Table Text Block] Foreign currency translation Goodwill, Foreign Currency Translation, Gain (Loss) Equity Awards Adjustments Equity Awards Adjustments [Member] Components of convertible debt Convertible Debt [Table Text Block] Hedging Relationship [Domain] Hedging Relationship [Domain] Total liabilities and stockholders’ equity Liabilities and Equity Employee Stock Option Share-Based Payment Arrangement, Option [Member] Contingency provision on the ratio of indebtedness to net capital Ratio Of Indebtedness To Net Capital, Contingency Provision Ratio Of Indebtedness To Net Capital, Contingency Provision Segments [Axis] Segments [Axis] Additional 402(v) Disclosure Additional 402(v) Disclosure [Text Block] Restructuring charges Restructuring Charges Inventory Disclosure [Abstract] Inventory Disclosure [Abstract] Tabular List, Table Tabular List [Table Text Block] Additional paid-in capital Additional Paid in Capital Other income (expense), net Other Nonoperating Income (Expense) Name Awards Close in Time to MNPI Disclosures, Individual Name Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested [Member] Sales and product allowances Sales And Product Allowances, Current Sales And Product Allowances, Current Property, Plant and Equipment, Type [Domain] Long-Lived Asset, Class [Domain] Preferred shares authorized (in shares) Preferred Stock, Shares Authorized Property, Plant, and Equipment [Table] Property, Plant, and Equipment [Table] Preferred stock, $0.01 par value, 15.0 million shares authorized; no shares issued or outstanding at July 3, 2026 and December 31, 2025 Preferred Stock, Value, Issued Adjustment to Compensation: Adjustment to Compensation [Axis] Change in accrued expenses and other liabilities Increase (Decrease) in Other Accounts Payable and Accrued Liabilities Hedging Designation [Domain] Hedging Designation [Domain] Restructuring Cost and Reserve [Line Items] Restructuring Cost and Reserve [Line Items] Rule 10b5-1 Arrangement Terminated Rule 10b5-1 Arrangement Terminated [Flag] Aggregate Erroneous Compensation Amount Aggregate Erroneous Compensation Amount Cash paid for interest Interest Paid, Excluding Capitalized Interest, Operating Activity Statement of Cash Flows [Abstract] Statement of Cash Flows [Abstract] Hedging Designation [Axis] Hedging Designation [Axis] Credit Facility [Axis] Credit Facility [Axis] Restructuring Activities And Related Impairments Restructuring and Related Activities Disclosure [Text Block] Aggregate Available Trading Arrangement, Securities Aggregate Available Amount Name Measure Name Income Taxes Income Tax Disclosure [Text Block] Pay vs Performance Disclosure [Line Items] Fair Value Hierarchy and NAV [Domain] Fair Value Hierarchy and NAV [Domain] Debt Instrument [Line Items] Debt Instrument [Line Items] Pay vs Performance Disclosure Pay vs Performance Disclosure [Table] Consideration transferred Business Combination, Consideration Transferred Additional Paid-in Capital Additional Paid-in Capital [Member] Entity Filer Category Entity Filer Category Compensation and benefits Employee-Related Liabilities, Noncurrent Employee-Related Liabilities, Noncurrent Name Trading Arrangement, Individual Name Cross-currency swap derivative contract Currency Swap [Member] Cash and cash equivalents Cash and Cash Equivalent Loan facility interest rates Debt Instrument, Interest Rate During Period Senior term loan facility due 2028 (the “2028 Term Loan”) 2028 Term Loan US Term Loan Due 2028 [Member] US Term Loan Due 2028 Concentration Risk Benchmark [Domain] Concentration Risk Benchmark [Domain] Company Selected Measure Amount Company Selected Measure Amount Depreciation and amortization Depreciation, Depletion and Amortization Investments, Debt and Equity Securities [Abstract] Secured Overnight Financing Rate (SOFR) Secured Overnight Financing Rate (SOFR) [Member] Current assets: Assets, Current [Abstract] Derivative liability Derivative Liability Non-PEO NEO Non-PEO NEO [Member] Entity Address, Address Line One Entity Address, Address Line One ROU assets obtained in exchange for operating lease obligations Right-of-Use Asset Obtained in Exchange for Operating Lease Liability North America North America [Member] Income tax expense Income Tax Expense (Benefit) Noncash items: Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Noncash Item [Abstract] Customer Concentration Risk Customer Concentration Risk [Member] Cost of sales Cost of Product and Service Sold Award Timing Method Award Timing Method [Text Block] Consolidation Consolidation, Policy [Policy Text Block] Net change in cash and cash equivalents Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Including Exchange Rate Effect and Discontinued Operation Forgone Recovery, Explanation of Impracticability Forgone Recovery, Explanation of Impracticability [Text Block] Loss contingencies Loss Contingency, Accrual, Current Net income Net income Net income (loss) Net Income (Loss) Attributable to Parent Long-term Debt, Type [Axis] Long-Term Debt, Type [Axis] Erroneous Compensation Analysis Erroneous Compensation Analysis [Text Block] Proceeds from sales of property, plant and equipment Proceeds from Sale of Property, Plant, and Equipment Statement [Table] Statement [Table] Restatement Determination Date: Restatement Determination Date [Axis] Proceeds from stock option exercises Proceeds from Stock Options Exercised Schedule of accumulated other comprehensive income (loss) Schedule of Accumulated Other Comprehensive Income (Loss) [Table Text Block] Liabilities assumed: Business Combination, Recognized Liability Assumed, Liability [Abstract] Fed Funds Effective Rate Overnight Index Swap Rate Fed Funds Effective Rate Overnight Index Swap Rate [Member] Convertible debt, consecutive trading days (in trading days) Debt Instrument, Convertible, Threshold Consecutive Trading Days Stock-based awards Share-Based Payment Arrangement [Member] Recoveries Accounts Receivable, Allowance for Credit Loss, Recovery Pension Benefits Adjustments, Footnote Pension Benefits Adjustments, Footnote [Text Block] Prepaid expense & other assets Business Combination, Recognized Asset Acquired, Prepaid Expense and Other Asset, Current Derivative Instruments and Hedging Activities Disclosure [Abstract] Derivative Instruments and Hedging Activities Disclosure [Abstract]