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Related Party Transactions - Insight Portfolio Group (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2016 | Sep. 30, 2015 | Sep. 30, 2016 | Sep. 30, 2015
Insight Portfolio Group LLC |  |  |  |
Related Party Transaction [Line Items] |  |  |  |
Related party transaction payments | $ 0.1 | $ 0.0 | $ 0.2 | $ 0.1

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- Definition Represents the amount of payment to related party. + References No definition available. + Details
Name: | cvi_RelatedPartyTransactionPayments
Namespace Prefix: | cvi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_RelatedPartyTransactionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=cvi_InsightPortfolioGroupLLCMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |