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Lines of Credit and Financing Arrangements (Asset Securitization Program, Textuals) (Details) - USD ($) | 12 Months Ended |  |
--- | --- | --- | ---
Dec. 31, 2020 | Dec. 31, 2019 | Jul. 30, 2017
Line of Credit Facility [Line Items] |  |  |
Maximum securitization as percentage of net pool balance | 100.00% |  |
Program fee (as a percent) | 0.70% |  |
Average floating commercial paper rate (as a percent) | 0.00% | 2.51% |
Unused fee (as a percent) | 101.00% |  |
Line of Credit [Member] |  |  |
Line of Credit Facility [Line Items] |  |  |
Minimum amount of principal or interest due on indebtedness or receivable securitization | $ 75,000,000.0 |  |
Maximum [Member] |  |  |
Line of Credit Facility [Line Items] |  |  |
Amount Available Under Asset Securitization |  |  | $ 400,000,000.0
Fixed rate of agreement (as a percent) | 0.35% |  |
Minimum [Member] |  |  |
Line of Credit Facility [Line Items] |  |  |
Amount Available Under Asset Securitization |  |  | $ 250,000,000.0
Fixed rate of agreement (as a percent) | 0.25% |  |

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

X
- Definition Average floating commercial paper rate. + References No definition available. + Details
Name: | lii_AverageFloatingCommercialPaperRate
Namespace Prefix: | lii_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | instant

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- Definition Fixed rate of agreement. + References No definition available. + Details
Name: | lii_FixedRateOfAgreement
Namespace Prefix: | lii_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Maximum securitization as percentage of net pool balance. + References No definition available. + Details
Name: | lii_MaximumSecuritizationAsPercentageOfNetPoolBalance
Namespace Prefix: | lii_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | instant

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- Definition Minimum amount of principal or interest due on indebtedness or receivable securitization. + References No definition available. + Details
Name: | lii_MinimumAmountOfPrincipalOrInterestDueOnIndebtednessOrReceivableSecuritization
Namespace Prefix: | lii_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Percentage of maximum available amount used to charge unused fee. + References No definition available. + Details
Name: | lii_PercentageOfMaximumAvailableAmountUsedToChargeUnusedFee
Namespace Prefix: | lii_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Program fee. + References No definition available. + Details
Name: | lii_ProgramFee
Namespace Prefix: | lii_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- 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 No definition available. + Details
Name: | us-gaap_LineOfCreditFacilityLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_CreditFacilityAxis=us-gaap_LineOfCreditMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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

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- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |