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Income Taxes (Details) (USD $) | 12 Months Ended
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Dec. 31, 2014 | Dec. 31, 2013 | Dec. 31, 2012
Income Taxes [Line Items] |  |  |
Due from parent | $ 44,500,000 us-gaap_DueFromRelatedPartiesCurrent | $ 0 us-gaap_DueFromRelatedPartiesCurrent |
Due to parent | 0 us-gaap_DueToRelatedPartiesCurrent | 100,000 us-gaap_DueToRelatedPartiesCurrent |
Statutory federal income tax rate (as a percent) | 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate |  |
Valuation allowance | 0 us-gaap_DeferredTaxAssetsValuationAllowance | 0 us-gaap_DeferredTaxAssetsValuationAllowance |
Unrecognized tax benefits which, if recognized, would impact the company's effective tax rate | 25,600,000 us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate | 19,100,000 us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate | 10,400,000 us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate
Unrecognized tax benefits reasonably possible to be recognized in next fiscal year | 18,500,000 us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit |  |
State tax credits | 13,500,000 cvi_UnrecognizedTaxBenefitsStateTaxCredits |  |
Interest on income recognized on uncertain tax positions | 3,800,000 us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense | 2,200,000 us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense | 500,000 us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense
Penalties recognized on uncertain tax positions | 0 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesExpense | 0 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesExpense | 200,000 us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesExpense
Accrued interest | 6,500,000 us-gaap_IncomeTaxExaminationInterestAccrued | 2,600,000 us-gaap_IncomeTaxExaminationInterestAccrued |
Accrued penalties | 0 us-gaap_IncomeTaxExaminationPenaltiesAccrued | 0 us-gaap_IncomeTaxExaminationPenaltiesAccrued |
Kansas |  |  |
Income Taxes [Line Items] |  |  |
Net income tax benefit recognized from Kansas High Performance Incentive Program | 2,800,000 cvi_IncomeTaxBenefitRecognizedFromQualifiedBusinessFacilityInvestmentCredit / cvi_StateAxis = stpr_KS | 7,800,000 cvi_IncomeTaxBenefitRecognizedFromQualifiedBusinessFacilityInvestmentCredit / cvi_StateAxis = stpr_KS | 4,500,000 cvi_IncomeTaxBenefitRecognizedFromQualifiedBusinessFacilityInvestmentCredit / cvi_StateAxis = stpr_KS
Kansas High Performance Incentive Program (HPIP) credits for qualified business facility investment earned | 4,300,000 cvi_IncomeTaxCreditEarnedFromQualifiedBusinessFacilityInvestment / cvi_StateAxis = stpr_KS | 12,000,000 cvi_IncomeTaxCreditEarnedFromQualifiedBusinessFacilityInvestment / cvi_StateAxis = stpr_KS | 6,900,000 cvi_IncomeTaxCreditEarnedFromQualifiedBusinessFacilityInvestment / cvi_StateAxis = stpr_KS
Oklahoma |  |  |
Income Taxes [Line Items] |  |  |
Net income tax benefit recognized from qualified manufacturing facility investment | 2,500,000 cvi_IncomeTaxBenefitRecognizedFromQualifiedManufacturingFacilityInvestment / cvi_StateAxis = stpr_OK | 1,200,000 cvi_IncomeTaxBenefitRecognizedFromQualifiedManufacturingFacilityInvestment / cvi_StateAxis = stpr_OK | 900,000 cvi_IncomeTaxBenefitRecognizedFromQualifiedManufacturingFacilityInvestment / cvi_StateAxis = stpr_OK
Qualified manufacturing facility investment credit earned | 3,900,000 cvi_IncomeTaxCreditEarnedFromQualifiedManufacturingFacilityInvestment / cvi_StateAxis = stpr_OK | 1,800,000 cvi_IncomeTaxCreditEarnedFromQualifiedManufacturingFacilityInvestment / cvi_StateAxis = stpr_OK | 1,300,000 cvi_IncomeTaxCreditEarnedFromQualifiedManufacturingFacilityInvestment / cvi_StateAxis = stpr_OK
AEPC |  |  |
Income Taxes [Line Items] |  |  |
Due from parent | 44,500,000 us-gaap_DueFromRelatedPartiesCurrent / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember |  |
Due to parent |  | 100,000 us-gaap_DueToRelatedPartiesCurrent / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember |
Federal taxes paid to AEPC under the Tax Sharing Agreement | 120,100,000 us-gaap_IncomeTaxesPaid / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember | 260,000,000 us-gaap_IncomeTaxesPaid / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember | 150,700,000 us-gaap_IncomeTaxesPaid / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_AmericanEntertainmentPropertiesCorpMember
State | Kansas |  |  |
Income Taxes [Line Items] |  |  |
Tax credit carryforwards | 1,700,000 us-gaap_TaxCreditCarryforwardAmount / us-gaap_IncomeTaxAuthorityAxis = us-gaap_StateAndLocalJurisdictionMember / cvi_StateAxis = stpr_KS |  |
State | Oklahoma |  |  |
Income Taxes [Line Items] |  |  |
Tax credit carryforwards | $ 17,500,000 us-gaap_TaxCreditCarryforwardAmount / us-gaap_IncomeTaxAuthorityAxis = us-gaap_StateAndLocalJurisdictionMember / cvi_StateAxis = stpr_OK |  |

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- Definition The amount of cash paid during the current period to foreign, federal, state, and local authorities as taxes on income. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6367179&loc=d3e4297-108586 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 25 -Subparagraph (f) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3536-108585 + Details
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- Definition The amount of estimated interest accrued as of the balance sheet date arising from income tax examinations. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32718-109319 + Details
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- Definition The amount of the unrecognized tax benefit of a position taken for which it is reasonably possible that the total amount thereof will significantly increase or decrease within twelve months of the balance sheet date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32718-109319 + Details
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- Definition Amount of expense for penalties related to a tax position claimed or expected to be claimed in the tax return. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32718-109319 + Details
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