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Income Taxes (Details 3) (USD $) In Millions, unless otherwise specified	3 Months Ended								12 Months Ended
	Dec. 31, 2014	Sep. 30, 2014	Jun. 30, 2014	Mar. 31, 2014	Dec. 31, 2013	Sep. 30, 2013	Jun. 30, 2013	Mar. 31, 2013	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Income Tax Disclosure [Abstract]
Tax computed at federal statutory rate									$ 142.5us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate	$ 247.0us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate	$ 223.4us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State income taxes, net of federal tax benefit									14.0us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes	16.5us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes	23.9us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
State tax incentives, net of federal tax expense									(5.4)us-gaap_IncomeTaxReconciliationTaxCreditsInvestment	(9.0)us-gaap_IncomeTaxReconciliationTaxCreditsInvestment	(5.4)us-gaap_IncomeTaxReconciliationTaxCreditsInvestment
Domestic production activities deduction									(5.5)us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities	(18.5)us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities	(16.5)us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities
Non-deductible share-based compensation									0.2us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost	1.5us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost	7.3us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost
Non-deductible transaction costs									0cvi_IncomeTaxReconciliationNondeductibleExpenseTransactionCosts	0cvi_IncomeTaxReconciliationNondeductibleExpenseTransactionCosts	4.2cvi_IncomeTaxReconciliationNondeductibleExpenseTransactionCosts
IRS interest expense, net									0cvi_IncomeTaxReconciliationIRSInterestExpense	0cvi_IncomeTaxReconciliationIRSInterestExpense	0.1cvi_IncomeTaxReconciliationIRSInterestExpense
Noncontrolling interest									(47.4)us-gaap_IncomeTaxReconciliationMinorityInterestIncomeExpense	(53.0)us-gaap_IncomeTaxReconciliationMinorityInterestIncomeExpense	(11.9)us-gaap_IncomeTaxReconciliationMinorityInterestIncomeExpense
Other, net									(0.7)us-gaap_IncomeTaxReconciliationOtherReconcilingItems	(0.8)us-gaap_IncomeTaxReconciliationOtherReconcilingItems	0.5us-gaap_IncomeTaxReconciliationOtherReconcilingItems
Total income tax expense	$ (21.0)us-gaap_IncomeTaxExpenseBenefit	$ 4.2us-gaap_IncomeTaxExpenseBenefit	$ 45.2us-gaap_IncomeTaxExpenseBenefit	$ 69.4us-gaap_IncomeTaxExpenseBenefit	$ (39.1)us-gaap_IncomeTaxExpenseBenefit	$ 29.5us-gaap_IncomeTaxExpenseBenefit	$ 99.5us-gaap_IncomeTaxExpenseBenefit	$ 93.8us-gaap_IncomeTaxExpenseBenefit	$ 97.7us-gaap_IncomeTaxExpenseBenefit	$ 183.7us-gaap_IncomeTaxExpenseBenefit	$ 225.6us-gaap_IncomeTaxExpenseBenefit

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Amount of the difference between total income tax expense or benefit as reported in the Income Statement and the expected income tax expense or benefit computed by applying the domestic federal statutory income tax rates to pre-tax income from continuing operations attributable to IRS interest expense during the period.

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Amount of the difference between total income tax expense (benefit) as reported in the income statement for the period and the expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income from continuing operations attributable to transaction cost.

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

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