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Lines of Credit and Financing Arrangements (Eligible Amounts Available and Beneficial Interest Sold) (Details) - USD ($) $ in Millions | Sep. 30, 2022 | Dec. 31, 2021
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Eligible amounts available and beneficial interests sold |  |
Eligible amount available under the ASP on qualified accounts receivable | $ 443.3 | $ 335.6
Less: Beneficial interest transferred | (400.0) | (250.0)
Remaining amount available | $ 43.3 | $ 85.6

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- Definition Asset securitization borrowing capacity. + References No definition available. + Details
Name: | lii_AssetSecuritizationBorrowingCapacity
Namespace Prefix: | lii_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Beneficial Interests Sold under Asset Securitization + References No definition available. + Details
Name: | lii_BeneficialInterestsSoldunderAssetSecuritization
Namespace Prefix: | lii_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Eligible amount available under asset securitization. + References No definition available. + Details
Name: | lii_EligibleAmountAvailableUnderAssetSecuritization
Namespace Prefix: | lii_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Eligible amounts available and beneficial interests sold. + References No definition available. + Details
Name: | lii_EligibleAmountsAvailableAndBeneficialInterestsSoldAbstract
Namespace Prefix: | lii_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration