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Reconciliation of Gross Unrecognized Tax Benefits (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Balance, beginning of period $ 101us-gaap_UnrecognizedTaxBenefits $ 108us-gaap_UnrecognizedTaxBenefits $ 46us-gaap_UnrecognizedTaxBenefits
Decrease related to expiration of statute of limitations (3)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (7)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (9)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations
Increase (decrease) related to prior years tax positions    (6)dan_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromPriorPeriodTaxPositions (63)dan_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromPriorPeriodTaxPositions
Increases related to current year tax positions 25us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 6us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 8us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions
Decrease related to settlements (14)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities      
Balance, end of period $ 109us-gaap_UnrecognizedTaxBenefits $ 101us-gaap_UnrecognizedTaxBenefits $ 108us-gaap_UnrecognizedTaxBenefits