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Lines of Credit and Financing Arrangements (Details) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Short-Term Debt:    
Short-term debt $ 226.6us-gaap_ShortTermBorrowings $ 165.9us-gaap_ShortTermBorrowings
Current maturities of long-term debt:    
Capital lease obligations 1.5us-gaap_CapitalLeaseObligationsCurrent 1.3us-gaap_CapitalLeaseObligationsCurrent
Long-Term Debt:    
Capital lease obligations 15.5us-gaap_CapitalLeaseObligationsNoncurrent 16.2us-gaap_CapitalLeaseObligationsNoncurrent
Total long-term debt 675.0us-gaap_LongTermDebtAndCapitalLeaseObligations 233.2us-gaap_LongTermDebtAndCapitalLeaseObligations
Total debt 925.6us-gaap_DebtAndCapitalLeaseObligations 400.4us-gaap_DebtAndCapitalLeaseObligations
Domestic Credit Facility [Member]    
Current maturities of long-term debt:    
Long-term Debt, Current Maturities 22.5us-gaap_LongTermDebtCurrent
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
0us-gaap_LongTermDebtCurrent
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
Long-Term Debt:    
Total long-term debt 459.5us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
17.0us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_DomesticLineOfCreditMember
Senior Unsecured Notes [Member]    
Long-Term Debt:    
Total long-term debt 200.0us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
200.0us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
Asset Securitization Program [Member]    
Short-Term Debt:    
Short-term debt 220.0us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= lii_AssetSecuritizationMember
160.0us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= lii_AssetSecuritizationMember
Foreign Obligations [Member]    
Short-Term Debt:    
Short-term debt $ 6.6us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= us-gaap_ForeignLineOfCreditMember
$ 5.9us-gaap_ShortTermBorrowings
/ us-gaap_ShortTermDebtTypeAxis
= us-gaap_ForeignLineOfCreditMember