Derivatives Used In Net Investment Hedge Increase (Decrease) Since Inception, Gross Of Tax

No definition available.

Name:	lin_DerivativesUsedInNetInvestmentHedgeIncreaseDecreaseSinceInceptionGrossOfTax
Namespace Prefix:	lin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Different Types of Derivatives, Number

+ References

No definition available.

+ Details

Name:	lin_DifferentTypesOfDerivativesNumber
Namespace Prefix:	lin_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Foreign Currency Contracts, Interest Income

+ References

No definition available.

+ Details

Name:	lin_ForeignCurrencyContractsInterestIncome
Namespace Prefix:	lin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Loans And Notes Payable, Related Parties

+ References

No definition available.

+ Details

Name:	lin_LoansAndNotesPayableRelatedParties
Namespace Prefix:	lin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Loans Payable, Related Parties

+ References

No definition available.

+ Details

Name:	lin_LoansPayableRelatedParties
Namespace Prefix:	lin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Notes and Loans Payable, Related Parties

+ References

No definition available.

+ Details

Name:	lin_NotesAndLoansPayableRelatedParties
Namespace Prefix:	lin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Notes Payable, Related Parties

+ References

No definition available.

+ Details

Name:	lin_NotesPayableRelatedParties
Namespace Prefix:	lin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Accumulated adjustment, net of tax, that results from the process of translating subsidiary financial statements and foreign equity investments into the reporting currency from the functional currency of the reporting entity, net of reclassification of realized foreign currency translation gains or losses.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 11
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482790/220-10-45-11

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 14A
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482790/220-10-45-14A

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 825
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 5A
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482736/825-10-45-5A

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 10A
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482790/220-10-45-10A

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 14
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482790/220-10-45-14

+ Details

Name:	us-gaap_AccumulatedOtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentNetOfTax
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 815
-SubTopic 20
-Name Accounting Standards Codification
-Section 25
-Paragraph 6A
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480682/815-20-25-6A

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 815
-SubTopic 40
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
-Subparagraph (f)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480237/815-40-50-5

+ Details

Name:	us-gaap_DerivativeLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Nominal or face amount used to calculate payment on derivative.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 815
-SubTopic 10
-Name Accounting Standards Codification
-Section 55
-Paragraph 181
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480401/815-10-55-181

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 815
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1B
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480434/815-10-50-1B

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 815
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1A
-Subparagraph (d)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480434/815-10-50-1A

+ Details

Name:	us-gaap_DerivativeNotionalAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	na
Period Type:	instant

- Definition

Period the derivative contract is outstanding, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	us-gaap_DerivativeTermOfContract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount, before tax, of increase (decrease) in the cumulative translation adjustment from gain (loss) on foreign currency derivatives that are designated as, and are effective as, economic hedges of a net investment in a foreign entity.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 830
-SubTopic 30
-Name Accounting Standards Codification
-Section 45
-Paragraph 20
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481694/830-30-45-20

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 830
-SubTopic 20
-Name Accounting Standards Codification
-Section 35
-Paragraph 3
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482014/830-20-35-3

+ Details

Name:	us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseGrossOfTax
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Details

Name:	us-gaap_HedgingDesignationAxis=us-gaap_DesignatedAsHedgingInstrumentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis=us-gaap_NetInvestmentHedgingMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_LineOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=lin_IntercompanyLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DerivativeInstrumentRiskAxis=us-gaap_CreditDefaultSwapMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DerivativeInstrumentRiskAxis=lin_ForecastedTransactionsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DerivativeInstrumentRiskAxis=us-gaap_CommodityContractMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditDerivativesByContractTypeAxis=us-gaap_CreditDefaultSwapMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Financial Instruments - Narrative (Details) SFr in Millions, $ in Millions, € in Billions, ¥ in Billions, $ in Billions	3 Months Ended	6 Months Ended
	Jun. 30, 2025 USD ($)	Jun. 30, 2025 USD ($) derivative	Jun. 30, 2025 EUR (€)	Jun. 30, 2025 CNY (¥)	Jun. 30, 2025 CAD ($)	Jun. 30, 2025 CHF (SFr)	Dec. 31, 2024 USD ($)
Derivative [Line Items]
Different types of derivatives, number \| derivative		3
Notional value	$ 14,113	$ 14,113					$ 11,942
Gain on exchange rate movements	(6,362)	(6,362)					(6,967)
Designated as Hedging Instrument
Derivative [Line Items]
Notional value	3,471	3,471					$ 1,839
Net Investment Hedging
Derivative [Line Items]
Cumulative deferred gain		1,624
Derivative deferred loss	1,914	2,823
Net Investment Hedging \| Line of Credit
Derivative [Line Items]
Cumulative deferred gain		110
Derivative deferred loss	111	110
Forward exchange contracts	22	22
Net Investment Hedging \| Designated as Hedging Instrument
Derivative [Line Items]
Gain on exchange rate movements	64	64
Net Investment Hedging \| Designated as Hedging Instrument \| Intercompany Loans
Derivative [Line Items]
Euro-denominated notes and intercompany loans	21,700	21,700	€ 18.4
CNY-denominated intercompany loans	700	700		¥ 5.2
CAD-denominated intercompany loans	1,100	1,100			$ 1.5
CHF-denominated intercompany loans	630	630				SFr 500
Credit Default Swap
Derivative [Line Items]
Notional value	145	$ 145
Maximum \| Credit Default Swap
Derivative [Line Items]
Derivative term		22 months
Maximum \| Forecasted Transactions
Derivative [Line Items]
Derivative term		3 years
Maximum \| Commodity contracts
Derivative [Line Items]
Derivative term		3 years
Credit Default Swap
Derivative [Line Items]
Notional value	$ 136	$ 136
Credit Default Swap \| Maximum
Derivative [Line Items]
Derivative term		24 months