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Stockholders' Equity (Details) (Treasury Stock, USD $)
In Millions, except Share data, unless otherwise specified
0 Months Ended 3 Months Ended
Mar. 31, 2015
Mar. 31, 2015
Dec. 31, 2014
Treasury Stock
     
Equity, Class of Treasury Stock [Line Items]      
Amount of shares authorized to be repurchased     $ 205.0us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= us-gaap_TreasuryStockMember
Shares repurchased 3,736,449us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= us-gaap_TreasuryStockMember
1,009,700us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= us-gaap_TreasuryStockMember
 
Cost of shares repurchased $ 106.2dgi_CostOfTreasuryStock
/ us-gaap_ShareRepurchaseProgramAxis
= us-gaap_TreasuryStockMember
$ 31.1dgi_CostOfTreasuryStock
/ us-gaap_ShareRepurchaseProgramAxis
= us-gaap_TreasuryStockMember
 
Average purchase price $ 28.41us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= us-gaap_TreasuryStockMember
$ 30.79us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= us-gaap_TreasuryStockMember