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v3.19.1

Subsequent Event (Details) - Subsequent Event [Member] $ in Millions | Apr. 03, 2019 USD ($)
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Subsequent Event [Line Items] |
Transfer of pension plan asset to life insurance company | $ 100.0
non-cash pension settlement pre-tax loss due to transfer | $ 61.0

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- Definition non-cash pension settlement pre-tax loss due to transfer + References No definition available. + Details
Name: | lii_Noncashpensionsettlementpretaxlossduetotransfer
Namespace Prefix: | lii_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Transfer of pension plan asset to life insurance company + References No definition available. + Details
Name: | lii_Transferofpensionplanassettolifeinsurancecompany
Namespace Prefix: | lii_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References No definition available. + Details
Name: | us-gaap_SubsequentEventLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |