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Income Taxes (Details 5) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Reconciliation of the unrecognized tax benefits
Balance beginning of year	$ 45.2us-gaap_UnrecognizedTaxBenefits	$ 36.9us-gaap_UnrecognizedTaxBenefits	$ 17.7us-gaap_UnrecognizedTaxBenefits
Increase based on prior year tax positions	0.5us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions	0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions	4.8us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions
Decrease based on prior year tax positions	0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions	(6.4)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions	(0.1)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions
Increases in current year tax positions	9.8us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions	14.7us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions	14.7us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions
Settlements	0cvi_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromSettlementsWithTaxingAuthorities	0cvi_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromSettlementsWithTaxingAuthorities	0cvi_UnrecognizedTaxBenefitsIncreasesDecreasesResultingFromSettlementsWithTaxingAuthorities
Reductions related to expirations of statute of limitations	0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations	0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations	(0.2)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations
Balance end of year	$ 55.5us-gaap_UnrecognizedTaxBenefits	$ 45.2us-gaap_UnrecognizedTaxBenefits	$ 36.9us-gaap_UnrecognizedTaxBenefits

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Represents the amount of increases or decreases in unrecognized tax benefits resulting from settlements with taxing authorities.

+ References

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- Definition

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

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Glossary Unrecognized Tax Benefit

-URI http://asc.fasb.org/extlink&oid=6527854



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-Publisher FASB

-Name Accounting Standards Codification

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Amount of decrease in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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-Publisher FASB

-Name Accounting Standards Codification

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Amount of increase in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return.

+ References

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Amount of increase in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations.

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-Name Accounting Standards Codification

-Topic 740

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-Section 50

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