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Lines of Credit and Financing Arrangements (Asset Securitization Program) (Details) - USD ($) | 9 Months Ended |
--- | --- | ---
Sep. 30, 2022 | Dec. 31, 2021
Line of Credit Facility [Line Items] |  |
Asset Securitization Borrowing Capacity | $ 43,300,000 | $ 85,600,000
Maximum securitization as percentage of net pool balance | 100.00% |
Program fee percentage | 0.70% |
Average floating commercial paper rate (as a percent) | 3.85% | 0.82%
Unused fee (as a percent) | 101.00% |
Senior Unsecured Notes |  |
Line of Credit Facility [Line Items] |  |
Minimum principal amount accelerated | $ 75,000,000 |
Minimum |  |
Line of Credit Facility [Line Items] |  |
Asset Securitization Borrowing Capacity | $ 300,000,000 |
Fixed rate of agreement (as a percent) | 0.25% |
Maximum |  |
Line of Credit Facility [Line Items] |  |
Asset Securitization Borrowing Capacity | $ 450,000,000 |
Fixed rate of agreement (as a percent) | 0.35% |

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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 Average floating commercial paper rate. + References No definition available. + Details
Name: | lii_AverageFloatingCommercialPaperRate
Namespace Prefix: | lii_
Data Type: | dtr-types: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: | dtr-types: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: | dtr-types: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

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- Definition Percentage of maximum available amount used to charge unused fee. + References No definition available. + Details
Name: | lii_PercentageOfMaximumAvailableAmountUsedToChargeUnusedFee
Namespace Prefix: | lii_
Data Type: | dtr-types: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: | dtr-types: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_LongtermDebtTypeAxis=us-gaap_SeniorNotesMember
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: |

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