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Employee Benefit Plans (Details 13) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Assets Category:    
Fair value $ 315.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets $ 302.8us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
NAV [Member]    
Assets Category:    
Fair value 309.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ lii_DefinedBenefitPlanByPlanAssetCategoriesValuationAxis
= lii_NavMember
294.6us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ lii_DefinedBenefitPlanByPlanAssetCategoriesValuationAxis
= lii_NavMember
Commingled Pools / Collective Trusts [Member] | U.S. Equity [Member]    
Assets Category:    
Fair value 78.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesDomesticMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_CommingledPoolsCollectiveTrustsMember
[1] 100.1us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesDomesticMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_CommingledPoolsCollectiveTrustsMember
[1]
Redemption Frequency (if currently eligible) Daily [2] Daily [2]
Redemption Notice Period 5 days [2] 5 days [2]
Commingled Pools / Collective Trusts [Member] | International Equity [Member]    
Assets Category:    
Fair value 47.3us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesForeignMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_CommingledPoolsCollectiveTrustsMember
[1] 70.8us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesForeignMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_CommingledPoolsCollectiveTrustsMember
[1]
Redemption Frequency (if currently eligible) Daily [1] Daily [1]
Redemption Notice Period 5 days [1] 5 days [1]
Commingled Pools / Collective Trusts [Member] | Fixed income [Member]    
Assets Category:    
Fair value 145.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeInvestmentsMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_CommingledPoolsCollectiveTrustsMember
[3] 89.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeInvestmentsMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_CommingledPoolsCollectiveTrustsMember
[3]
Redemption Frequency (if currently eligible) Daily [3] Daily [3]
Balanced pension trusts [Member] | International Equity [Member]    
Assets Category:    
Fair value 4.7us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesForeignMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= us-gaap_TrustForBenefitOfEmployeesMember
[4] 10.8us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesForeignMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= us-gaap_TrustForBenefitOfEmployeesMember
[4]
Redemption Frequency (if currently eligible) Daily [4] Daily [4]
Balanced pension trusts [Member] | Fixed income [Member]    
Assets Category:    
Fair value 14.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeInvestmentsMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= us-gaap_TrustForBenefitOfEmployeesMember
[4] 7.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeInvestmentsMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= us-gaap_TrustForBenefitOfEmployeesMember
[4]
Redemption Frequency (if currently eligible) Daily [4] Daily [4]
Pension Funds [Member] | International Equity [Member]    
Assets Category:    
Fair value 11.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesForeignMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_PensionFundsMember
[5] 9.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= lii_EquitySecuritiesForeignMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_PensionFundsMember
[5]
Redemption Frequency (if currently eligible) Daily [5] Daily [5]
Redemption Notice Period   7 days [4]
Pension Funds [Member] | Fixed income [Member]    
Assets Category:    
Fair value $ 8.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeInvestmentsMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_PensionFundsMember
[6] $ 6.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeInvestmentsMember
/ lii_DefinedBenefitPlanByPlanAssetMajorGroupCategoriesAxis
= lii_PensionFundsMember
[6]
Redemption Frequency (if currently eligible) Daily [6] Daily [6]
Redemption Notice Period   7 days [4]
Minimum [Member] | Commingled Pools / Collective Trusts [Member] | Fixed income [Member]    
Assets Category:    
Redemption Notice Period 5 days 5 days
Minimum [Member] | Balanced pension trusts [Member] | International Equity [Member]    
Assets Category:    
Redemption Notice Period 3 days 3 days
Minimum [Member] | Balanced pension trusts [Member] | Fixed income [Member]    
Assets Category:    
Redemption Notice Period 3 days 3 days
Minimum [Member] | Pension Funds [Member] | International Equity [Member]    
Assets Category:    
Redemption Notice Period 1 day  
Minimum [Member] | Pension Funds [Member] | Fixed income [Member]    
Assets Category:    
Redemption Notice Period 1 day  
Maximum [Member] | Commingled Pools / Collective Trusts [Member] | Fixed income [Member]    
Assets Category:    
Redemption Notice Period 15 days 15 days
Maximum [Member] | Balanced pension trusts [Member] | International Equity [Member]    
Assets Category:    
Redemption Notice Period 5 days 5 days
Maximum [Member] | Balanced pension trusts [Member] | Fixed income [Member]    
Assets Category:    
Redemption Notice Period 5 days 5 days
Maximum [Member] | Pension Funds [Member] | International Equity [Member]    
Assets Category:    
Redemption Notice Period 7 days  
Maximum [Member] | Pension Funds [Member] | Fixed income [Member]    
Assets Category:    
Redemption Notice Period 7 days  
[1] This category includes investments primarily in international equity securities that include large, mid and small capitalization companies in large developed markets as well as emerging markets equities.
[2] This category includes investments primarily in U.S. equity securities that include large, mid and small capitalization companies.
[3] This category includes investments in U.S. investment grade and high yield fixed income securities, international fixed income securities and emerging markets fixed income securities.
[4] The investment objectives of the fund are to provide long-term capital growth and income by investing primarily in a well-diversified, balanced portfolio of Canadian common stocks, bonds and money market securities. The fund also holds a portion of its assets in international equities.
[5] This category includes investments in international equity securities and aims to provide returns consistent with the markets in which it invests and provide broad exposure to countries around the world.
[6] This category includes investments in U.K. government index-linked securities (index-linked gilts) that have maturity periods of 5 years or longer and investment grade corporate bonds denominated in sterling.