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