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Commitments and Contingencies (Details 8) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Loss Contingencies [Line Items]    
Minimum ownership interest in company 80.00%cvi_MajorityShareholderOwnershipPercentageMinimum  
Affiliate Pension Obligations    
Loss Contingencies [Line Items]    
Aggregate underfunded pension obligation if pension plans voluntarily terminated by affiliate 473.8cvi_UnderfundedPensionObligationIfPensionPlansVoluntarilyTerminatedByAffiliate
/ us-gaap_LossContingenciesByNatureOfContingencyAxis
= cvi_AffiliatePensionObligationsMember
$ 591.8cvi_UnderfundedPensionObligationIfPensionPlansVoluntarilyTerminatedByAffiliate
/ us-gaap_LossContingenciesByNatureOfContingencyAxis
= cvi_AffiliatePensionObligationsMember
IEP    
Loss Contingencies [Line Items]    
Ownership percentage held by controlling stockholder 82.00%cvi_MajorityShareholderOwnershipPercentage
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_MajorityShareholderMember