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Reportable Business Segments (Details 1) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Segment Reporting Information [Line Items]    
Number of reportable business segments 3us-gaap_NumberOfReportableSegments  
Net Sales $ 685.8us-gaap_SalesRevenueNet $ 695.4us-gaap_SalesRevenueNet
Subtotal that includes segment profit and eliminations 31.2lii_SegmentProfitAndLoss 35.3lii_SegmentProfitAndLoss
Reconciliation to income from continuing operations before income taxes:    
Special product quality adjustment (0.2)lii_SpecialProductQualityAdjustment 0lii_SpecialProductQualityAdjustment
Items in (Gains) losses and other expenses, net that are excluded from segment profit 4.1lii_SegmentReportingReconcilingItemInLossesAndOtherExpensesFromSegmentToConsolidatedAmount 1.3lii_SegmentReportingReconcilingItemInLossesAndOtherExpensesFromSegmentToConsolidatedAmount
Restructuring charges 0.3us-gaap_RestructuringCharges 0.1us-gaap_RestructuringCharges
Interest expense, net 5.7us-gaap_InterestExpense 3.3us-gaap_InterestExpense
Special inventory write down 0lii_Specialinventorywritedown 0lii_Specialinventorywritedown
Other expense (income), net 0us-gaap_OtherNonoperatingIncomeExpense 0us-gaap_OtherNonoperatingIncomeExpense
Income from continuing operations before income taxes 21.3lii_IncomeLossFromContinuingOperationsBeforeIncomeTaxes 30.6lii_IncomeLossFromContinuingOperationsBeforeIncomeTaxes
Residential Heating & Cooling [Member]    
Segment Reporting Information [Line Items]    
Net Sales 362.5us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
342.1us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
Subtotal that includes segment profit and eliminations 31.2lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
24.4lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
Commercial Heating & Cooling [Member]    
Segment Reporting Information [Line Items]    
Net Sales 159.9us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
173.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
Subtotal that includes segment profit and eliminations 7.7lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
10.2lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
Refrigeration [Member]    
Segment Reporting Information [Line Items]    
Net Sales 163.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
180.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
Subtotal that includes segment profit and eliminations 4.0lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
12.1lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
Corporate & other [Member]    
Segment Reporting Information [Line Items]    
Subtotal that includes segment profit and eliminations $ (11.7)lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
$ (11.4)lii_SegmentProfitAndLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember