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Long-Term Debt (Details 8) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Debt Disclosure [Abstract]
Amortization of deferred financing costs reported as interest expense and other financing costs	$ 2.8cvi_AmortizationOfFinancingCostsAndDiscount	$ 2.9cvi_AmortizationOfFinancingCostsAndDiscount	$ 5.0cvi_AmortizationOfFinancingCostsAndDiscount
2015	2.8cvi_DeferredFinancingCostsFutureAmortizationExpenseYearOne
2016	2.2cvi_DeferredFinancingCostsFutureAmortizationExpenseYearTwo
2017	1.8cvi_DeferredFinancingCostsFutureAmortizationExpenseYearThree
2018	0.9cvi_DeferredFinancingCostsFutureAmortizationExpenseYearFour
2019	0.9cvi_DeferredFinancingCostsFutureAmortizationExpenseYearFive
Thereafter	2.6cvi_DeferredFinancingCostsFutureAmortizationExpenseAfterYearFive
Total	$ 11.2cvi_DeferredFinancingCostsFutureAmortizationExpense

X

- Definition

The component of interest expense comprised of the periodic charge against earnings over the life of the financing arrangement to which such costs relate and the amortization of the debt discount associated with related debt instruments.

+ References

No definition available.

+ Details

Name:	cvi_AmortizationOfFinancingCostsAndDiscount
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The aggregate estimated amortization expense for succeeding fiscal years for deferred financing costs subject to amortization.

+ References

No definition available.

+ Details

Name:	cvi_DeferredFinancingCostsFutureAmortizationExpense
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of amortization expense expected to be recognized for the remainder of the deferred financing costs after the fifth succeeding fiscal year.

+ References

No definition available.

+ Details

Name:	cvi_DeferredFinancingCostsFutureAmortizationExpenseAfterYearFive
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of amortization expense of deferred financing costs expected to be recognized during year five of the five succeeding fiscal years.

+ References

No definition available.

+ Details

Name:	cvi_DeferredFinancingCostsFutureAmortizationExpenseYearFive
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of amortization expense of deferred financing costs expected to be recognized during year four of the five succeeding fiscal years.

+ References

No definition available.

+ Details

Name:	cvi_DeferredFinancingCostsFutureAmortizationExpenseYearFour
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of amortization expense of deferred financing costs expected to be recognized during year one of the five succeeding fiscal years.

+ References

No definition available.

+ Details

Name:	cvi_DeferredFinancingCostsFutureAmortizationExpenseYearOne
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of amortization expense of deferred financing costs expected to be recognized during year three of the five succeeding fiscal years.

+ References

No definition available.

+ Details

Name:	cvi_DeferredFinancingCostsFutureAmortizationExpenseYearThree
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of amortization expense of deferred financing costs expected to be recognized during year two of the five succeeding fiscal years.

+ References

No definition available.

+ Details

Name:	cvi_DeferredFinancingCostsFutureAmortizationExpenseYearTwo
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Details

Name:	us-gaap_DebtDisclosureAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration