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Stock-based Compensation (Details) (USD $)
3 Months Ended 0 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Feb. 20, 2014
Stock-based Compensation arrangements      
Stock based compensation expense $ 5,900,000us-gaap_AllocatedShareBasedCompensationExpense $ 3,200,000us-gaap_AllocatedShareBasedCompensationExpense  
Tax benefits realized for stock-based compensation 3,400,000us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 16,000,000us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense  
Supplemental Employee Incentive Plan IV      
Stock-based Compensation arrangements      
Stock based compensation expense (100,000)us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= cog_SupplementalEmployeeIncentivePlansIVMember
1,500,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= cog_SupplementalEmployeeIncentivePlansIVMember
 
Assumptions:      
Stock price volatility 31.30%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_PlanNameAxis
= cog_SupplementalEmployeeIncentivePlansIVMember
   
Risk free rate of return 0.70%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_PlanNameAxis
= cog_SupplementalEmployeeIncentivePlansIVMember
   
Annual salary increase rate 4.00%cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAnnualSalaryIncreaseRate
/ us-gaap_PlanNameAxis
= cog_SupplementalEmployeeIncentivePlansIVMember
   
Annual turnover rate 4.60%cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAnnualTurnoverRate
/ us-gaap_PlanNameAxis
= cog_SupplementalEmployeeIncentivePlansIVMember
   
Restricted Stock Awards      
Stock-based Compensation arrangements      
Granted (in shares) 2,400us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
   
Granted (in dollars per share) $ 27.53us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
   
Annual forfeiture rate assumption (as a percent) 5.00%cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitures
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
   
Restricted Stock Units      
Stock-based Compensation arrangements      
Granted (in shares) 45,450us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
   
Granted (in dollars per share) $ 27.76us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
   
Performance Share Awards | Minimum      
Stock-based Compensation arrangements      
Annual forfeiture rate assumption (as a percent) 0.00%cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitures
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Performance Share Awards | Maximum      
Stock-based Compensation arrangements      
Annual forfeiture rate assumption (as a percent) 5.00%cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitures
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Performance Share Awards Based on Internal Performance Metrics | Maximum      
Stock-based Compensation arrangements      
Right to receive additional shares (as a percent) 100.00%cog_ShareBasedCompensationArrangementByShareBasedCompensationAwardPercentageRightToReceiveAdditionalShares
/ us-gaap_AwardTypeAxis
= cog_InternalMetricsPerformanceShareAwardsMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Employee Performance Share Awards      
Stock-based Compensation arrangements      
Granted (in shares) 349,780us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= cog_EmployeePerformanceSharesMember
   
Granted (in dollars per share) $ 27.71us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= cog_EmployeePerformanceSharesMember
   
Number of years over which performance criteria is to be met 3 years    
Hybrid Performance Share Awards      
Stock-based Compensation arrangements      
Granted (in shares) 194,947us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= cog_HybridPerformanceSharesMember
   
Granted (in dollars per share) $ 27.71us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= cog_HybridPerformanceSharesMember
   
Vesting rights The 2015 awards vest 25% on each of the first and second anniversary dates and 50% on the third anniversary    
Minimum operating cash flow for the year preceding the performance period $ 100,000,000cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsMinimumOperatingCashFlowRequirement
/ us-gaap_AwardTypeAxis
= cog_HybridPerformanceSharesMember
   
Hybrid Performance Share Awards | Hybrid performance share awards, percentage vesting on each of the first and second anniversary      
Stock-based Compensation arrangements      
Award vesting rights, percentage 25.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= cog_HybridPerformanceSharesMember
/ us-gaap_VestingAxis
= cog_SharebasedCompensationAwardShareAwardsPercentageVestingontheFirstandSecondServiceAnniversaryMember
   
Hybrid Performance Share Awards | Hybrid performance share awards, percentage vesting on the third anniversary      
Stock-based Compensation arrangements      
Award vesting rights, percentage 50.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= cog_HybridPerformanceSharesMember
/ us-gaap_VestingAxis
= cog_SharebasedCompensationAwardShareAwardsPercentageVestingontheThirdServiceAnniversaryMember
   
Performance Shares Based on Market Conditions | Maximum      
Stock-based Compensation arrangements      
Right to receive shares (as a percent) 100.00%cog_ShareBasedCompensationArrangementByShareBasedCompensationAwardPercentageRightToReceiveShares
/ us-gaap_AwardTypeAxis
= cog_MarketBasedPerformanceShareAwardsMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Right to receive an additional award in cash (as a percent) 100.00%cog_ShareBasedCompensationArrangementByShareBasedCompensationAwardPercentageRightToReceiveCash
/ us-gaap_AwardTypeAxis
= cog_MarketBasedPerformanceShareAwardsMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
TSR Performance Share Awards      
Stock-based Compensation arrangements      
Granted (in shares) 292,421us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
   
Performance period 3 years    
Assumptions:      
Fair value per performance share award (in dollars per share)     $ 19.29cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedFairValue
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
Stock price volatility     32.30%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
Risk free rate of return     1.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
Expected dividend yield 0.30%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
  0.30%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
Stock price volatility, minimum 29.30%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMinimum
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
   
Stock price volatility, maximum 30.30%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMaximum
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
   
Risk free rate of return, minimum 0.20%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMinimum
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
   
Risk free rate of return, maximum 0.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMaximum
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
   
Fair value per performance share award, minimum (in dollars per share) $ 10.37cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageFairValueLowEndOfRange
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember
   
Fair value per performance share award, maximum(in dollars per share) $ 14.21cog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageFairValueHighEndOfRange
/ us-gaap_AwardTypeAxis
= cog_TSRPerformanceSharesMember