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Subsequent event (Details) (Subsequent event, Common Stock, USD $)
0 Months Ended
Mar. 10, 2015
Mar. 10, 2015
Subsequent event | Common Stock
   
Subsequent event    
Common stock repurchase program, increase in the authorized amount $ 1,000,000,000dg_StockRepurchaseProgramIncreaseInAuthorizedAmount
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
 
Remaining authorization available under the common stock repurchase program $ 1,200,000,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
$ 1,200,000,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Approved quarterly cash dividend $ 0.22us-gaap_DividendsPayableAmountPerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
$ 0.22us-gaap_DividendsPayableAmountPerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember