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Reconciliation of Numerators and Denominators of Earnings per Share Calculations (Detail) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Sep. 30, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Earnings Per Share [Abstract]        
Income from continuing operations   $ 343us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest $ 261us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest $ 315us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest
Less: Noncontrolling interests net income   9us-gaap_NetIncomeLossAttributableToNoncontrollingInterest 16us-gaap_NetIncomeLossAttributableToNoncontrollingInterest 15us-gaap_NetIncomeLossAttributableToNoncontrollingInterest
Less: Preferred stock dividend requirements   7us-gaap_PreferredStockDividendsIncomeStatementImpact 25us-gaap_PreferredStockDividendsIncomeStatementImpact 31us-gaap_PreferredStockDividendsIncomeStatementImpact
Less: Preferred stock redemption premium 232us-gaap_PreferredStockRedemptionPremium    232us-gaap_PreferredStockRedemptionPremium   
Income from continuing operations available to common stockholders - Numerator basic   327dan_IncomeLossFromContinuingOperationsAvailableToCommonStockholdersBasic (12)dan_IncomeLossFromContinuingOperationsAvailableToCommonStockholdersBasic 269dan_IncomeLossFromContinuingOperationsAvailableToCommonStockholdersBasic
Numerator diluted   334dan_IncomeLossFromContinuingOperationsAvailableToCommonStockholdersDiluted (12)dan_IncomeLossFromContinuingOperationsAvailableToCommonStockholdersDiluted 300dan_IncomeLossFromContinuingOperationsAvailableToCommonStockholdersDiluted
Net income (loss) available to common stockholders   312us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic (13)us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 269us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Numerator diluted   $ 319us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ (13)us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 300us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted
Weighted-average number of shares outstanding - Denominator basic   158.0us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 146.4us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 148.0us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Employee compensation-related shares, including stock options   1.2us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements    2.0us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
Conversion of preferred stock   14.3us-gaap_IncrementalCommonSharesAttributableToConversionOfPreferredStock    64.7us-gaap_IncrementalCommonSharesAttributableToConversionOfPreferredStock
Denominator diluted   173.5us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 146.4us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 214.7us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding