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INCOME TAXES (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Pre-tax income [Abstract]      
Domestic $ 758.6us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 844.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 909.0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic
Foreign 68.1us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 71.4us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 35.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign
Total pre-tax income 826.7lh_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest 915.6lh_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest 944.2lh_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest
Current:      
Federal 233.6us-gaap_CurrentFederalTaxExpenseBenefit 231.6us-gaap_CurrentFederalTaxExpenseBenefit 254.1us-gaap_CurrentFederalTaxExpenseBenefit
State 30.1us-gaap_CurrentStateAndLocalTaxExpenseBenefit 29.9us-gaap_CurrentStateAndLocalTaxExpenseBenefit 35.1us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Foreign 22.7us-gaap_CurrentForeignTaxExpenseBenefit 22.5us-gaap_CurrentForeignTaxExpenseBenefit 16.9us-gaap_CurrentForeignTaxExpenseBenefit
Total current income taxes 286.4us-gaap_CurrentIncomeTaxExpenseBenefit 284.0us-gaap_CurrentIncomeTaxExpenseBenefit 306.1us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred:      
Federal 29.1us-gaap_DeferredFederalIncomeTaxExpenseBenefit 55.2us-gaap_DeferredFederalIncomeTaxExpenseBenefit 58.3us-gaap_DeferredFederalIncomeTaxExpenseBenefit
State 3.7us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit 6.1us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit 0.4us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit
Foreign (5.1)us-gaap_DeferredForeignIncomeTaxExpenseBenefit (5.1)us-gaap_DeferredForeignIncomeTaxExpenseBenefit (5.4)us-gaap_DeferredForeignIncomeTaxExpenseBenefit
Total deferred income taxes 27.7us-gaap_DeferredIncomeTaxExpenseBenefit 56.2us-gaap_DeferredIncomeTaxExpenseBenefit 53.3us-gaap_DeferredIncomeTaxExpenseBenefit
Total income tax provision 314.1us-gaap_IncomeTaxExpenseBenefit 340.2us-gaap_IncomeTaxExpenseBenefit 359.4us-gaap_IncomeTaxExpenseBenefit
Tax benefit associated with option exercises from stock plans 5.9lh_AdjustmentsToAdditionalPaidInCapitalTaxEffectAssociatedWithOptionExercisesFromStockPlans 10.6lh_AdjustmentsToAdditionalPaidInCapitalTaxEffectAssociatedWithOptionExercisesFromStockPlans 8.4lh_AdjustmentsToAdditionalPaidInCapitalTaxEffectAssociatedWithOptionExercisesFromStockPlans
Federal statutory tax rate reconciliation [Abstract]      
Statutory federal rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
State and local income taxes, net of federal income tax effect 2.70%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.60%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.40%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes
Other 0.30%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments (0.40%)us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 0.70%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Effective rate 38.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 37.20%us-gaap_EffectiveIncomeTaxRateContinuingOperations 38.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Deferred tax assets:      
Accounts receivable 12.9us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts 20.2us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts  
Employee compensation and benefits 110.7us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsOther 83.4us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsOther  
Self insurance reserves 27.6us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance 17.8us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance  
Postretirement benefit obligation 10.2us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits 23.2us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits  
Acquisition and restructuring reserves 20.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsRestructuringCharges 20.6us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsRestructuringCharges  
Tax loss carryforwards 69.1us-gaap_DeferredTaxAssetsOperatingLossCarryforwards 58.0us-gaap_DeferredTaxAssetsOperatingLossCarryforwards  
Other 2.4us-gaap_DeferredTaxAssetsOther 3.8us-gaap_DeferredTaxAssetsOther  
Total deferred tax assets 253.0us-gaap_DeferredTaxAssetsGross 227.0us-gaap_DeferredTaxAssetsGross  
Less: valuation allowance (17.1)us-gaap_DeferredTaxAssetsValuationAllowance (16.5)us-gaap_DeferredTaxAssetsValuationAllowance  
Net deferred tax assets 235.9us-gaap_DeferredTaxAssetsNet 210.5us-gaap_DeferredTaxAssetsNet  
Deferred tax liabilities:      
Deferred earnings (15.8)us-gaap_DeferredTaxLiabilitiesTaxDeferredIncome (15.1)us-gaap_DeferredTaxLiabilitiesTaxDeferredIncome  
Intangible assets (496.3)us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets (463.4)us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets  
Property, plant and equipment (93.5)us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment (86.4)us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment  
Zero-coupon subordinated notes (92.8)us-gaap_DeferredTaxLiabilitiesZeroCouponNotes (106.7)us-gaap_DeferredTaxLiabilitiesZeroCouponNotes  
Currency translation adjustment (48.7)us-gaap_DeferredTaxLiabilitiesOtherComprehensiveIncome (77.9)us-gaap_DeferredTaxLiabilitiesOtherComprehensiveIncome  
Total gross deferred tax liabilities (747.1)us-gaap_DeferredTaxLiabilities (749.5)us-gaap_DeferredTaxLiabilities  
Net deferred tax liabilities (511.2)us-gaap_DeferredTaxAssetsLiabilitiesNet (539.0)us-gaap_DeferredTaxAssetsLiabilitiesNet  
Foreign tax loss carryovers 9.0lh_ForeignTaxLossCarryovers    
Foreign tax loss carryovers, expiration dates full valuation allowance    
Federal tax loss carryovers 58.2lh_FederalTaxLossCarryovers    
Federal tax loss carryovers, expiration dates expiring periodically through 2031    
Capital loss carryover 1.9us-gaap_DeferredTaxAssetsCapitalLossCarryforwards    
Gross unrecognized income tax benefits 16.7us-gaap_UnrecognizedTaxBenefits 25.6us-gaap_UnrecognizedTaxBenefits 36.4us-gaap_UnrecognizedTaxBenefits
Accrued interest and penalties related to unrecognized income tax benefits 8.2us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued 9.3us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued  
Interest and penalties expense related to unrecognized income tax benefits 2.2us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense 2.4us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense 3.0us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense
Interest and penalties benefit related to unrecognized income tax benefits 3.3lh_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpenseBenefit 2.9lh_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpenseBenefit 3.9lh_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpenseBenefit
Reconciliation of unrecognized tax benefits [Roll Forward]      
Balance as of January 1 25.6us-gaap_UnrecognizedTaxBenefits 36.4us-gaap_UnrecognizedTaxBenefits 52.7us-gaap_UnrecognizedTaxBenefits
Increase in reserve for tax positions taken in the current year 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 1.9us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 0.4us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions
Increase (decrease) in reserve for tax positions taken in a prior period 0lh_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromPriorPeriodTaxPositions 0lh_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromPriorPeriodTaxPositions (8.0)lh_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromPriorPeriodTaxPositions
Decrease in reserve as a result of settlements reached with tax authorities 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (4.4)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (0.1)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities
Decrease in reserve as a result of lapses in the statute of limitations (8.9)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (8.3)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (8.6)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations
Balance as of December 31 16.7us-gaap_UnrecognizedTaxBenefits 25.6us-gaap_UnrecognizedTaxBenefits 36.4us-gaap_UnrecognizedTaxBenefits
Unrecognized income tax benefits that would impact effective tax rate 16.7us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate 25.6us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate  
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount 1.9us-gaap_IncomeTaxReconciliationRepatriationOfForeignEarnings    
Undistributed Earnings of Foreign Subsidiaries $ 29.5us-gaap_UndistributedEarningsOfForeignSubsidiaries