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Stock Compensation - Additional Information (Detail) (USD $)
In Millions, unless otherwise specified
0 Months Ended 12 Months Ended 9 Months Ended
Dec. 31, 2014
Dec. 31, 2014
award
Dec. 31, 2013
Dec. 31, 2012
Sep. 30, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Accrual for cash-settled awards $ 6us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent $ 6us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent $ 5us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent    
Stock compensation expense   16us-gaap_AllocatedShareBasedCompensationExpense 16us-gaap_AllocatedShareBasedCompensationExpense 19us-gaap_AllocatedShareBasedCompensationExpense  
Total fair value of awards vested   13dan_ShareBasedCompensationArrangementBySharebasedPaymentAwardAllEquityInstrumentsVestedInPeriodTotalFairValue 10dan_ShareBasedCompensationArrangementBySharebasedPaymentAwardAllEquityInstrumentsVestedInPeriodTotalFairValue 18dan_ShareBasedCompensationArrangementBySharebasedPaymentAwardAllEquityInstrumentsVestedInPeriodTotalFairValue  
Cash received from the exercise of stock options   7us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 15us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 10us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions  
Cash paid to settle SARs, RSUs and PSUs   2us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsShareBasedLiabilitiesPaid 4us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsShareBasedLiabilitiesPaid 2us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsShareBasedLiabilitiesPaid  
Total unrecognized compensation cost related to nonvested awards granted and expected to vest 20us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized 20us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized      
Weighted-average period in which the total unrecognized compensation cost is expected to be recognized 1 year 9 months 18 days        
Number of individual annual awards 3dan_NumberofIndividualAnnualAward 3dan_NumberofIndividualAnnualAward      
Cash award vesting period 3 years        
Expenses for annual cash incentive awards   $ 44dan_CashIncentiveAwardExpense $ 47dan_CashIncentiveAwardExpense $ 40dan_CashIncentiveAwardExpense  
Restricted Stock Units (RSUs) [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Shares issued   0.3us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
     
Stock vesting period (years)   3 years      
Stock Option And Stock Appreciation Rights [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Stock vesting period (years)   3 years      
Stock maximum term   10 years      
Performance Share Units [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Expected term (in years)         3 years
Risk free interest rate         0.64%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Dividend yield         1.02%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Expected volatility rate         43.60%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Historical volatility period         3 years
Omnibus Incentive Plan 2012 [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares of common stock available for future grant 5.0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= dan_OmnibusIncentivePlanTwentyTwelveMember
5.0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= dan_OmnibusIncentivePlanTwentyTwelveMember