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Results of Discontinued Operations (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Discontinued Operations and Disposal Groups [Abstract]      
Sales $ 0us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue $ 0us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue $ 34us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue
Cost of sales       31us-gaap_DisposalGroupIncludingDiscontinuedOperationCostsOfGoodsSold
Restructuring charges, net    1dan_DisposalGroupIncludingDiscontinuedOperationRestructuringCharges 3dan_DisposalGroupIncludingDiscontinuedOperationRestructuringCharges
Other expense (19)dan_DisposalGroupIncludingDiscontinuedOperationOtherOperatingExpenses    (1)dan_DisposalGroupIncludingDiscontinuedOperationOtherOperatingExpenses
Pre-tax loss (19)us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax (1)us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax (1)us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax
Income tax benefit (4)us-gaap_DiscontinuedOperationTaxEffectOfDiscontinuedOperation    (1)us-gaap_DiscontinuedOperationTaxEffectOfDiscontinuedOperation
Loss from discontinued operations $ (15)us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax $ (1)us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax $ 0us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax