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Income Taxes (Details) (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
Income Tax Information [Line Items]                      
Tax benefit associated with restructuring $ 3.4bwa_TaxBenefitAssociatedWithRestructuring $ 1.4bwa_TaxBenefitAssociatedWithRestructuring $ 1.7bwa_TaxBenefitAssociatedWithRestructuring $ 8.8bwa_TaxBenefitAssociatedWithRestructuring         $ 15.3bwa_TaxBenefitAssociatedWithRestructuring $ 5.1bwa_TaxBenefitAssociatedWithRestructuring $ 7.7bwa_TaxBenefitAssociatedWithRestructuring
Other tax benefits 0.2us-gaap_OtherTaxExpenseBenefit 0.9us-gaap_OtherTaxExpenseBenefit       3.1us-gaap_OtherTaxExpenseBenefit     1.1us-gaap_OtherTaxExpenseBenefit 2.2us-gaap_OtherTaxExpenseBenefit  
Earnings before income taxes and the provision for income taxes                      
Earnings before income taxes - U.S.                 218.8us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic 136.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic 132.3us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic
Earnings before income taxes - Non-U.S.                 761.3us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 733.1us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 628.7us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign
Earnings before income taxes and noncontrolling interest 214.7us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 244.9us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 285.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 235.3us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 193.9us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 229.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 246.7us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 199.5us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 980.1us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 869.3us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 761.0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
Current:                      
Federal                 25.7us-gaap_CurrentFederalTaxExpenseBenefit 27.7us-gaap_CurrentFederalTaxExpenseBenefit 59.8us-gaap_CurrentFederalTaxExpenseBenefit
State                 3.9us-gaap_CurrentStateAndLocalTaxExpenseBenefit 2.6us-gaap_CurrentStateAndLocalTaxExpenseBenefit 3.4us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Foreign                 220.8us-gaap_CurrentForeignTaxExpenseBenefit 211.1us-gaap_CurrentForeignTaxExpenseBenefit 186.1us-gaap_CurrentForeignTaxExpenseBenefit
Total current                 250.4us-gaap_CurrentIncomeTaxExpenseBenefit 241.4us-gaap_CurrentIncomeTaxExpenseBenefit 249.3us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred:                      
Federal                 66.2us-gaap_DeferredFederalIncomeTaxExpenseBenefit (2.3)us-gaap_DeferredFederalIncomeTaxExpenseBenefit 19.6us-gaap_DeferredFederalIncomeTaxExpenseBenefit
State                 (1.2)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (7.3)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (0.1)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit
Foreign                 (22.8)us-gaap_DeferredForeignIncomeTaxExpenseBenefit (13.5)us-gaap_DeferredForeignIncomeTaxExpenseBenefit (30.2)us-gaap_DeferredForeignIncomeTaxExpenseBenefit
Total deferred                 42.2us-gaap_DeferredIncomeTaxExpenseBenefit (23.1)us-gaap_DeferredIncomeTaxExpenseBenefit (10.7)us-gaap_DeferredIncomeTaxExpenseBenefit
Provision for income taxes $ 67.3us-gaap_IncomeTaxExpenseBenefit $ 71.9us-gaap_IncomeTaxExpenseBenefit $ 85.3us-gaap_IncomeTaxExpenseBenefit $ 68.1us-gaap_IncomeTaxExpenseBenefit $ 44.5us-gaap_IncomeTaxExpenseBenefit $ 56.3us-gaap_IncomeTaxExpenseBenefit $ 66.6us-gaap_IncomeTaxExpenseBenefit $ 50.9us-gaap_IncomeTaxExpenseBenefit $ 292.6us-gaap_IncomeTaxExpenseBenefit $ 218.3us-gaap_IncomeTaxExpenseBenefit $ 238.6us-gaap_IncomeTaxExpenseBenefit
Effective tax rate                 29.90%us-gaap_EffectiveIncomeTaxRateContinuingOperations 25.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations 31.40%us-gaap_EffectiveIncomeTaxRateContinuingOperations