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Restructuring Charges (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Dec. 31, 2013
Jun. 30, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Information regarding restructuring charges              
Charges Incurred in 2014         $ 1.9us-gaap_RestructuringAndRelatedCostIncurredCost    
Charges Incurred to Date 10.6us-gaap_RestructuringAndRelatedCostCostIncurredToDate1       10.6us-gaap_RestructuringAndRelatedCostCostIncurredToDate1    
Total Charges Expected to be Incurred 11.4us-gaap_RestructuringAndRelatedCostExpectedCost1       11.4us-gaap_RestructuringAndRelatedCostExpectedCost1    
Details activity within the restructuring reserves              
Beginning balance         1.6us-gaap_RestructuringReserve 2.4us-gaap_RestructuringReserve  
Charged to Earnings 0.6us-gaap_RestructuringCharges 1.0us-gaap_RestructuringCharges 1.8us-gaap_RestructuringCharges 2.4us-gaap_RestructuringCharges 1.9us-gaap_RestructuringCharges 5.0us-gaap_RestructuringCharges 4.2us-gaap_RestructuringCharges
Cash Utilization         (1.7)us-gaap_PaymentsForRestructuring (4.9)us-gaap_PaymentsForRestructuring  
Non-Cash Utilization and Other         (0.2)us-gaap_RestructuringReserveSettledWithoutCash1 (0.9)us-gaap_RestructuringReserveSettledWithoutCash1  
Ending balance 1.6us-gaap_RestructuringReserve   1.6us-gaap_RestructuringReserve   1.6us-gaap_RestructuringReserve 1.6us-gaap_RestructuringReserve 2.4us-gaap_RestructuringReserve
Severance and related expense [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         1.4us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
   
Charges Incurred to Date 6.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
      6.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
   
Total Charges Expected to be Incurred 7.2us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
      7.2us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
   
Details activity within the restructuring reserves              
Beginning balance         1.6us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
0.7us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Charged to Earnings           2.7us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Cash Utilization         (1.5)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
(1.6)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Non-Cash Utilization and Other         0us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
(0.2)us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Ending balance 1.5us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
  1.6us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
  1.5us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
1.6us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
 
Asset write-offs and accelerated depreciation [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         0.3us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
   
Charges Incurred to Date 1.8us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
      1.8us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
   
Total Charges Expected to be Incurred 1.8us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
      1.8us-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
0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Charged to Earnings           0.7us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Cash Utilization         0us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
0us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Non-Cash Utilization and Other         (0.2)us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
(0.7)us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Ending balance 0.1us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
  0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
  0.1us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ReducedDepreciationMember
 
Equipment moves [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         0us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
   
Charges Incurred to Date 0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
      0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
   
Total Charges Expected to be Incurred 0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
      0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
   
Details activity within the restructuring reserves              
Beginning balance         0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Charged to Earnings           0.1us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Cash Utilization         0us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
(0.1)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Non-Cash Utilization and Other         0us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
0us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Ending balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
  0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
  0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_MachineryAndEquipmentMember
 
Lease termination [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         0us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
   
Charges Incurred to Date 0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
      0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
   
Total Charges Expected to be Incurred 0.1us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
      0.1us-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
1.2us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Charged to Earnings           0us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Cash Utilization         0us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
(1.2)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Non-Cash Utilization and Other         0us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
0us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Ending balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
  0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
  0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_ContractTerminationMember
 
Other [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         0.2us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
   
Charges Incurred to Date 1.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
      1.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
   
Total Charges Expected to be Incurred 2.3us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
      2.3us-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
0.5us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Charged to Earnings           1.5us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Cash Utilization         (0.2)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
(2.0)us-gaap_PaymentsForRestructuring
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Non-Cash Utilization and Other         0us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
0us-gaap_RestructuringReserveSettledWithoutCash1
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Ending balance 0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
  0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
  0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
0us-gaap_RestructuringReserve
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
 
Residential Heating & Cooling [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         0.4us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
   
Charges Incurred to Date 1.5us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
      1.5us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
   
Total Charges Expected to be Incurred 1.5us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
      1.5us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_ResidentialHeatingAndCoolingMember
   
Commercial Heating & Cooling [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         0us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
   
Charges Incurred to Date 0.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
      0.9us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
   
Total Charges Expected to be Incurred 0.9us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
      0.9us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_CommercialHeatingAndCoolingMember
   
Refrigeration [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         1.6us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
   
Charges Incurred to Date 8.2us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
      8.2us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
   
Total Charges Expected to be Incurred 9.0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
      9.0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= lii_RefrigerationMember
   
Corporate & other [Member]              
Information regarding restructuring charges              
Charges Incurred in 2014         (0.1)us-gaap_RestructuringAndRelatedCostIncurredCost
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Charges Incurred to Date 0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
      0us-gaap_RestructuringAndRelatedCostCostIncurredToDate1
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Total Charges Expected to be Incurred $ 0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
      $ 0us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember