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Income taxes (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
May 01, 2015
May 02, 2014
Income taxes    
Reserves for uncertain tax benefits $ 9.4us-gaap_UnrecognizedTaxBenefits  
Interest accrued related to uncertain tax benefits 1.0us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued  
Potential penalties accrued related to uncertain tax benefits 0.4us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAccrued  
Aggregate reserve for uncertain tax positions including interest and penalties 10.8dg_UnrecognizedTaxBenefitsIncludingInterestAndPenalties  
Reserves for uncertain tax benefits included in noncurrent Other liabilities 10.8us-gaap_LiabilityForUncertainTaxPositionsNoncurrent  
Reserve for uncertain tax positions for which a reduction is reasonably possible in the next twelve months 3.0us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit  
Reserve for uncertain tax positions that would impact effective tax rate if recognized $ 9.4us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate  
Effective income tax rates (as a percent) 37.70%us-gaap_EffectiveIncomeTaxRateContinuingOperations 37.80%us-gaap_EffectiveIncomeTaxRateContinuingOperations