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Long-Term Debt (Details) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Debt Instrument [Line Items]    
Long-term debt $ 673.1us-gaap_LongTermDebtAndCapitalLeaseObligations $ 673.5us-gaap_LongTermDebtAndCapitalLeaseObligations
Capital lease obligations 48.1us-gaap_CapitalLeaseObligationsNoncurrent 48.5us-gaap_CapitalLeaseObligationsNoncurrent
6.5% Senior Notes due 2022    
Debt Instrument [Line Items]    
Stated interest rate (as a percent) 6.50%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= cvi_SecondLienSeniorSecuredNotes6.50PercentDue2022Member
6.50%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= cvi_SecondLienSeniorSecuredNotes6.50PercentDue2022Member
Long-term debt 500.0us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= cvi_SecondLienSeniorSecuredNotes6.50PercentDue2022Member
500.0us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= cvi_SecondLienSeniorSecuredNotes6.50PercentDue2022Member
CRNF credit facility    
Debt Instrument [Line Items]    
Long-term debt $ 125.0us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= cvi_CRNFCreditFacilityMember
$ 125.0us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= cvi_CRNFCreditFacilityMember