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Summary of Significant Accounting Policies (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
customer
Dec. 31, 2013
customer
Basis of Consolidation    
Percentage of holders of the outstanding common units required to vote for removal of the general partner 66.67%cvi_MinimumPercentageOfVotingRequiredForRemovalOfGeneralPartner  
Cash and Cash Equivalents    
Checks issued but not presented to banks 21.5cvi_CashAndCashEquivalentsChecksIssuedButNotPresentedToBanks 13.2cvi_CashAndCashEquivalentsChecksIssuedButNotPresentedToBanks
Accounts receivable | Credit concentration | One customer with largest risk concentration    
Accounts Receivable, net    
Number of customers 0cvi_ConcentrationRiskNumberOfCustomers
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ cvi_ConcentrationRiskByLargestCustomersAxis
= cvi_LargestSingleCustomerConcentrationRiskMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
1cvi_ConcentrationRiskNumberOfCustomers
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ cvi_ConcentrationRiskByLargestCustomersAxis
= cvi_LargestSingleCustomerConcentrationRiskMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
Customers individually representing greater than this percentage for disclosure 8.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ cvi_ConcentrationRiskByLargestCustomersAxis
= cvi_LargestSingleCustomerConcentrationRiskMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
12.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ cvi_ConcentrationRiskByLargestCustomersAxis
= cvi_LargestSingleCustomerConcentrationRiskMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember