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Restructuring Charges (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Information regarding restructuring charges    
Charges Incurred in 2013 $ 0.3us-gaap_RestructuringAndRelatedCostIncurredCost  
Charges Incurred to Date 10.8us-gaap_RestructuringAndRelatedCostCostIncurredToDate1  
Total Charges Expected to be Incurred 11.4us-gaap_RestructuringAndRelatedCostExpectedCost1  
Details activity within the restructuring reserves    
Beginning balance 1.6us-gaap_RestructuringReserve  
Restructuring charges 0.3us-gaap_RestructuringCharges 0.1us-gaap_RestructuringCharges
Cash Utilization (0.4)us-gaap_PaymentsForRestructuring  
Non-Cash Utilization and Other 0us-gaap_RestructuringReserveSettledWithoutCash1  
Ending balance 1.5us-gaap_RestructuringReserve  
Employee Severance [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0.1us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Charges Incurred to Date 7.0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Total Charges Expected to be Incurred 7.3us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Details activity within the restructuring reserves    
Beginning balance 1.5us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Restructuring charges 0.1us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Cash Utilization (0.2)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Non-Cash Utilization and Other     
Ending balance 1.4us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Reduced Depreciation [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0.1us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Charges Incurred to Date 1.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Total Charges Expected to be Incurred 1.9us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Details activity within the restructuring reserves    
Beginning balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Restructuring charges 0.1us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Cash Utilization     
Non-Cash Utilization and Other     
Ending balance 0.1us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Machinery and Equipment [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Charges Incurred to Date 0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Total Charges Expected to be Incurred 0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Details activity within the restructuring reserves    
Beginning balance 0.1us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Restructuring charges     
Cash Utilization (0.1)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Non-Cash Utilization and Other     
Ending balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Contract Termination [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Charges Incurred to Date 0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Total Charges Expected to be Incurred 0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Details activity within the restructuring reserves    
Beginning balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Restructuring charges     
Cash Utilization     
Non-Cash Utilization and Other     
Ending balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Other Restructuring [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0.1us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Charges Incurred to Date 1.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Total Charges Expected to be Incurred 2.2us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Details activity within the restructuring reserves    
Beginning balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Restructuring charges 0.1us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Cash Utilization (0.1)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Non-Cash Utilization and Other     
Ending balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Residential Heating & Cooling [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0.1us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
 
Charges Incurred to Date 1.6us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
 
Total Charges Expected to be Incurred 1.6us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
 
Commercial Heating & Cooling [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
 
Charges Incurred to Date 0.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
 
Total Charges Expected to be Incurred 0.9us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
 
Refrigeration [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0.2us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
 
Charges Incurred to Date 8.3us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
 
Total Charges Expected to be Incurred 8.9us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
 
Corporate & other [Member]    
Information regarding restructuring charges    
Charges Incurred in 2013 0us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
 
Charges Incurred to Date 0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
 
Total Charges Expected to be Incurred $ 0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember