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Income Taxes (Details) (USD $)	3 Months Ended
	Mar. 31, 2015	Mar. 31, 2014
Income Taxes [Line Items]
Unrecognized tax benefits	$ 58,700,000us-gaap_UnrecognizedTaxBenefits
Unrecognized tax benefits which, if recognized, would impact the company's effective tax rate	27,700,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate
Unrecognized tax benefits related to state tax credits	16,700,000cvi_UnrecognizedTaxBenefitsStateTaxCredits
Accrued interest	7,400,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued
Effective tax rate (as a percent)	22.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations	24.50%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Effective tax rate at a combined federal and state income tax rate (as a percent)	39.60%cvi_EffectiveIncomeTaxRateReconciliationatCombinedFederalStatutoryandStateIncomeTaxRatePercent	39.60%cvi_EffectiveIncomeTaxRateReconciliationatCombinedFederalStatutoryandStateIncomeTaxRatePercent
AEPC
Income Taxes [Line Items]
Due from parent	9,000,000us-gaap_DueFromRelatedParties / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember
Federal taxes paid to AEPC under the Tax Allocation Agreement	$ 0us-gaap_IncomeTaxesPaid / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember	0us-gaap_IncomeTaxesPaid / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember

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- Definition

Effective Income Tax Rate Reconciliation, at Combined Federal Statutory and State Income Tax Rate, Percent

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Unrecognized Tax Benefits, State Tax Credits

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For an unclassified balance sheet, amounts due from related parties including affiliates, employees, joint ventures, officers and stockholders, immediate families thereof, and pension funds.

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Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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The amount of cash paid during the current period to foreign, federal, state, and local authorities as taxes on income.

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Amount of unrecognized tax benefits pertaining to uncertain tax positions taken in tax returns.

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Amount of interest expense accrued for an underpayment of income taxes.

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