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Related Party Transactions - Expenses Incurred and Payments Made to Related Parties (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Jun. 30, 2018 | Jun. 30, 2017 | Jun. 30, 2018 | Jun. 30, 2017
American Entertainment Properties Corporation | Tax Allocation Agreement |  |  |  |
Related Party Transaction [Line Items] |  |  |  |
Payments made | $ 8 | $ 10 | $ 8 | $ 10

X
- 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

X
- 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

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

X
- Details
Name: | us-gaap_RelatedPartyTransactionAxis=cvi_TaxAllocationAgreementMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |