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Effective Tax Rate Reconciliation (Detail)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income Tax Disclosure [Abstract]      
U.S. federal income tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
State and local income taxes, net of federal benefit 1.00%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes      
Non-U.S. income (6.00%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (4.00%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (4.00%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential
Non-U.S. tax incentives (4.00%)dan_EffectiveIncomeTaxRateReconciliationForeignTaxIncentives (4.00%)dan_EffectiveIncomeTaxRateReconciliationForeignTaxIncentives (5.00%)dan_EffectiveIncomeTaxRateReconciliationForeignTaxIncentives
Non-U.S. withholding taxes on undistributed earnings of non-U.S. operations 4.00%us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings 5.00%us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings 4.00%us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings
Settlement and return adjustments 3.00%us-gaap_EffectiveIncomeTaxRateReconciliationTaxSettlements 1.00%us-gaap_EffectiveIncomeTaxRateReconciliationTaxSettlements 2.00%us-gaap_EffectiveIncomeTaxRateReconciliationTaxSettlements
Miscellaneous items    1.00%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments (1.00%)us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Valuation allowance adjustments (60.00%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance (2.00%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance (17.00%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance
Effective income tax rate for operations (27.00%)us-gaap_EffectiveIncomeTaxRateContinuingOperations 32.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 14.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations