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Lines of Credit and Financing Arrangements (Asset Securitization Program) (Details) - USD ($) $ in Millions | Dec. 31, 2018 | Dec. 31, 2017
--- | --- | ---
Eligible amounts available and beneficial interests sold |  |
Eligible amount available under the ASP on qualified accounts receivable | $ 290.0 | $ 290.0
Less: Beneficial interest transferred | (268.0) | (276.0)
Remaining amount available | $ 22.0 | $ 14.0

X
- 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 interest sold. + References No definition available. + Details
Name: | lii_BeneficialInterestSold
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

X
- 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