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Lines of Credit and Financing Arrangements (Details) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Short-Term Debt:    
Short-term Debt $ 185.3us-gaap_ShortTermBorrowings $ 226.6us-gaap_ShortTermBorrowings
Current maturities of long-term debt:    
Capital lease obligations 1.5us-gaap_CapitalLeaseObligationsCurrent 1.5us-gaap_CapitalLeaseObligationsCurrent
Long-Term Debt:    
Capital lease obligations 15.5us-gaap_CapitalLeaseObligationsNoncurrent 15.5us-gaap_CapitalLeaseObligationsNoncurrent
Total long-term debt 869.0us-gaap_LongTermDebtAndCapitalLeaseObligations 675.0us-gaap_LongTermDebtAndCapitalLeaseObligations
Total debt 1,085.8us-gaap_DebtAndCapitalLeaseObligations 925.6us-gaap_DebtAndCapitalLeaseObligations
Domestic revolving credit facility [Member]    
Current maturities of long-term debt:    
Domestic credit facility 30.0us-gaap_LongTermDebtCurrent
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
22.5us-gaap_LongTermDebtCurrent
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
Long-Term Debt:    
Long-term debt 653.5us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
459.5us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
Senior unsecured notes [Member]    
Long-Term Debt:    
Long-term debt 200.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
200.0us-gaap_LongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
Asset Securitization [Member]    
Short-Term Debt:    
Short-term Debt 180.0us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= lii_AssetSecuritizationMember
220.0us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= lii_AssetSecuritizationMember
Foreign obligations [Member]    
Short-Term Debt:    
Short-term Debt $ 5.3us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= us-gaap_ForeignLineOfCreditMember
$ 6.6us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= us-gaap_ForeignLineOfCreditMember