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Dividends (Details) (USD $) In Millions, except Share data, unless otherwise specified	3 Months Ended								12 Months Ended			0 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 dividend	Dec. 31, 2013 dividend	Dec. 31, 2012	Jul. 17, 2014	Jun. 10, 2013	Feb. 19, 2013
Dividends [Abstract]
Number of Special Cash Dividends Declared and Paid									1cvi_NumberOfSpecialCashDividendsDeclaredAndPaid	2cvi_NumberOfSpecialCashDividendsDeclaredAndPaid
Schedule Of Dividends Paid Table [Line Items]
Payments of Dividends									$ 434.2us-gaap_PaymentsOfDividends	$ 1,237.3us-gaap_PaymentsOfDividends	$ 0us-gaap_PaymentsOfDividends
Dividends declared per share (in dollars per share)	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared	$ 2.75us-gaap_CommonStockDividendsPerShareDeclared	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared	$ 7.25us-gaap_CommonStockDividendsPerShareDeclared	$ 5.50us-gaap_CommonStockDividendsPerShareDeclared	$ 5.00us-gaap_CommonStockDividendsPerShareDeclared	$ 14.25us-gaap_CommonStockDividendsPerShareDeclared	$ 0.00us-gaap_CommonStockDividendsPerShareDeclared
Total dividends paid per common share (in dollars per share)									$ 5.00us-gaap_CommonStockDividendsPerShareCashPaid	$ 14.25us-gaap_CommonStockDividendsPerShareCashPaid
IEP
Schedule Of Dividends Paid Table [Line Items]
Payments of Dividends									356.0us-gaap_PaymentsOfDividends / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	1,014.6us-gaap_PaymentsOfDividends / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember
Public Stockholders [Member]
Schedule Of Dividends Paid Table [Line Items]
Payments of Dividends									78.2us-gaap_PaymentsOfDividends / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	222.7us-gaap_PaymentsOfDividends / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember
Quarterly Dividend
Schedule Of Dividends Paid Table [Line Items]
Dividends		65.1us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	65.1us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	65.1us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	65.1us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	65.1us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	65.1us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	65.1us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember
Dividends declared per share (in dollars per share)		$ 0.75us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	$ 0.75us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember
Shares outstanding (in shares)		86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember		86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember
Quarterly Dividend | IEP
Schedule Of Dividends Paid Table [Line Items]
Dividends		53.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	53.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	53.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	53.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	53.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	53.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	53.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember
Quarterly Dividend | Public Stockholders [Member]
Schedule Of Dividends Paid Table [Line Items]
Dividends		11.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	11.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	11.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	11.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	11.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	11.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	11.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_QuarterlyDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember
Special Dividend
Schedule Of Dividends Paid Table [Line Items]
Dividends												173.7us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember	564.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember	477.6us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember
Dividends declared per share (in dollars per share)												$ 2.00us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_SpecialDividendMember	$ 6.50us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_SpecialDividendMember	$ 5.50us-gaap_CommonStockDividendsPerShareDeclared / us-gaap_DividendsAxis = cvi_SpecialDividendMember
Shares outstanding (in shares)												86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_SpecialDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_SpecialDividendMember	86,800,000us-gaap_CommonStockSharesOutstanding / us-gaap_DividendsAxis = cvi_SpecialDividendMember
Special Dividend | IEP
Schedule Of Dividends Paid Table [Line Items]
Dividends												142.4us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	462.8us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember	391.6us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = us-gaap_MajorityShareholderMember
Special Dividend | Public Stockholders [Member]
Schedule Of Dividends Paid Table [Line Items]
Dividends												$ 31.3us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	$ 101.6us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember	$ 86.0us-gaap_Dividends / us-gaap_DividendsAxis = cvi_SpecialDividendMember / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cvi_PublicStockholdersMember

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