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

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