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Derivative Financial Instruments (Details 3) (USD $)
3 Months Ended 12 Months Ended
Mar. 31, 2015
Dec. 31, 2014
Derivative instruments, Balance Sheet Location    
Derivatives assets - current $ 163,869,000us-gaap_DerivativeAssetsCurrent $ 163,275,000us-gaap_DerivativeAssetsCurrent
Derivatives assets-long-term 77,475,000us-gaap_DerivativeAssetsNoncurrent 89,210,000us-gaap_DerivativeAssetsNoncurrent
Derivatives liabilities - current (973,000)us-gaap_DerivativeLiabilitiesCurrent (721,000)us-gaap_DerivativeLiabilitiesCurrent
Derivatives liabilities - long-term (7,821,000)us-gaap_DerivativeLiabilitiesNoncurrent (68,000)us-gaap_DerivativeLiabilitiesNoncurrent
Not designated as hedging instruments    
Derivative instruments, Balance Sheet Location    
Total 232,550,000us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
251,696,000us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Commodity derivatives | Not designated as hedging instruments    
Derivative instruments, Balance Sheet Location    
Derivatives assets - current 163,869,000us-gaap_DerivativeAssetsCurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
163,275,000us-gaap_DerivativeAssetsCurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Derivatives assets-long-term 77,375,000us-gaap_DerivativeAssetsNoncurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
89,210,000us-gaap_DerivativeAssetsNoncurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Derivatives liabilities - long-term (7,731,000)us-gaap_DerivativeLiabilitiesNoncurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
 
Net deferred premiums payable related to commodity derivative contracts 2,600,000kos_DerivativeDeferredPremiumCurrentAssets
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
1,800,000kos_DerivativeDeferredPremiumCurrentAssets
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Net deferred premiums payable related to commodity derivative contracts 5,600,000kos_DerivativeDeferredPremiumNoncurrentAssets
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
6,900,000kos_DerivativeDeferredPremiumNoncurrentAssets
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_CommodityContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Interest rate contracts | Not designated as hedging instruments    
Derivative instruments, Balance Sheet Location    
Derivatives assets-long-term 100,000us-gaap_DerivativeAssetsNoncurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
 
Derivatives liabilities - current (973,000)us-gaap_DerivativeLiabilitiesCurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
(721,000)us-gaap_DerivativeLiabilitiesCurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Derivatives liabilities - long-term $ (90,000)us-gaap_DerivativeLiabilitiesNoncurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
$ (68,000)us-gaap_DerivativeLiabilitiesNoncurrent
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember