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Intrinsic Value of Awards Exercised or Vested (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Stock Option And Stock Appreciation Rights [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Intrinsic value of awards exercised $ 7dan_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= dan_StockOptionAndStockAppreciationRightsMember
$ 14dan_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= dan_StockOptionAndStockAppreciationRightsMember
$ 18dan_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= dan_StockOptionAndStockAppreciationRightsMember
Restricted Stock Units (RSUs) and Performance Share Units (PSUs) [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Intrinsic value of awards vested $ 8dan_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsVestedInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= dan_RestrictedStockUnitsRSUsandPerformanceShareUnitsPSUsMember
$ 5dan_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsVestedInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= dan_RestrictedStockUnitsRSUsandPerformanceShareUnitsPSUsMember
$ 11dan_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsVestedInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= dan_RestrictedStockUnitsRSUsandPerformanceShareUnitsPSUsMember