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CONSOLIDATED STATEMENTS OF CHANGES IN EQUITY (Parenthetical) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2013
Dec. 31, 2014
Initial Public Offering    
Issuance of common units, tax impact $ 148.0cvi_StockIssuedDuringPeriodValueNewIssuesTaxBenefitExpense
/ us-gaap_TransactionTypeAxis
= us-gaap_IPOMember
 
Underwritten Offering    
Issuance of common units, tax impact 96.0cvi_StockIssuedDuringPeriodValueNewIssuesTaxBenefitExpense
/ us-gaap_TransactionTypeAxis
= cvi_UnderwrittenOfferingMember
 
Private Placement    
Issuance of common units, tax impact 15.2cvi_StockIssuedDuringPeriodValueNewIssuesTaxBenefitExpense
/ us-gaap_TransactionTypeAxis
= us-gaap_PrivatePlacementMember
 
Secondary Offering    
Issuance of common units, tax impact 88.5cvi_StockIssuedDuringPeriodValueNewIssuesTaxBenefitExpense
/ us-gaap_TransactionTypeAxis
= cvi_SecondaryOfferingMember
 
Second Underwritten Offering    
Issuance of common units, tax impact   $ 39.4cvi_StockIssuedDuringPeriodValueNewIssuesTaxBenefitExpense
/ us-gaap_TransactionTypeAxis
= cvi_SecondUnderwrittenOfferingMember