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Reportable Business Segments (Details 6) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Summary of financial information relating to geographic area based operations                      
Total net sales to external customers $ 812.8us-gaap_SalesRevenueNet $ 898.4us-gaap_SalesRevenueNet $ 960.7us-gaap_SalesRevenueNet $ 695.4us-gaap_SalesRevenueNet $ 749.5us-gaap_SalesRevenueNet $ 868.0us-gaap_SalesRevenueNet $ 913.1us-gaap_SalesRevenueNet $ 668.4us-gaap_SalesRevenueNet $ 3,367.4us-gaap_SalesRevenueNet [1] $ 3,199.1us-gaap_SalesRevenueNet [1] $ 2,949.4us-gaap_SalesRevenueNet [1]
Total property, plant and equipment, net 358.6us-gaap_PropertyPlantAndEquipmentNet       335.5us-gaap_PropertyPlantAndEquipmentNet       358.6us-gaap_PropertyPlantAndEquipmentNet 335.5us-gaap_PropertyPlantAndEquipmentNet 298.2us-gaap_PropertyPlantAndEquipmentNet
United States [Member]                      
Summary of financial information relating to geographic area based operations                      
Total net sales to external customers                 2,576.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
2,382.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
2,147.2us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
Total property, plant and equipment, net 243.4us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
      230.3us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
      243.4us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
230.3us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
227.9us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_US
Mexico [Member]                      
Summary of financial information relating to geographic area based operations                      
Total property, plant and equipment, net 52.4us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_MX
      39.7us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_MX
      52.4us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_MX
39.7us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_MX
28.0us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_MX
Canada [Member]                      
Summary of financial information relating to geographic area based operations                      
Total net sales to external customers                 236.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
232.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
226.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
Total property, plant and equipment, net 0.6us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
      0.6us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
      0.6us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
0.6us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
0.6us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= country_CA
International [Member]                      
Summary of financial information relating to geographic area based operations                      
Total net sales to external customers                 554.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
584.8us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
575.5us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
Total property, plant and equipment, net $ 62.2us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
      $ 64.9us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
      $ 62.2us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
$ 64.9us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
$ 41.7us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementBusinessSegmentsAxis
= lii_InternationalMember
[1] On a consolidated basis, no revenue from transactions with a single customer were 10% or greater of our consolidated net sales for any of the periods presented.