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Capital Stock (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
May 31, 2014
May 30, 2014
May 01, 2014
Incentive Plans            
Common stock, Authorized shares 960,000,000us-gaap_CommonStockSharesAuthorized 480,000,000us-gaap_CommonStockSharesAuthorized   960,000,000us-gaap_CommonStockSharesAuthorized 480,000,000us-gaap_CommonStockSharesAuthorized  
Treasury stock            
Number of shares repurchased 4,300,000us-gaap_TreasuryStockSharesAcquired 4,800,000us-gaap_TreasuryStockSharesAcquired 0us-gaap_TreasuryStockSharesAcquired      
Cost of shares repurchased $ 138,852,000us-gaap_TreasuryStockValueAcquiredCostMethod $ 164,634,000us-gaap_TreasuryStockValueAcquiredCostMethod $ 0us-gaap_TreasuryStockValueAcquiredCostMethod      
Cumulative number of shares repurchased under a share repurchase program 29,900,000cog_CumulativeTreasuryStockSharesAcquired          
Treasury stock, number of shares authorized to be repurchased 40,000,000.0us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased          
Treasury stock, cumulative shares retired 20,000,000cog_CumulativeTreasuryStockSharesRetired          
Cumulative cost of shares repurchased under a share repurchase program $ 388,400,000cog_CumulativePaymentsForRepurchaseOfCommonStock          
Treasury stock reissued 0us-gaap_StockIssuedDuringPeriodSharesTreasuryStockReissued          
Shares held as treasury stock 9,892,680us-gaap_TreasuryStockShares 5,618,166us-gaap_TreasuryStockShares        
2014 Incentive Plan            
Incentive Plans            
Number of shares reserved for issuance           18,000,000us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
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Number of shares available for issuance 18,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
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2014 Incentive Plan | Stock options | Less than or equal to            
Incentive Plans            
Number of shares reserved for issuance           10,000,000us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
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