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Commitments and Contingencies - Supply Commitments (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2020 | Dec. 31, 2019 | Dec. 31, 2018
Commitments and Contingencies Disclosure [Abstract] |  |  |
Amounts purchased under supply agreements | $ 153 | $ 167 | $ 214

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- Definition Represents the expenses associated with long term purchase commitment agreements. + References No definition available. + Details
Name: | cvi_LongTermPurchaseCommitmentExpenses
Namespace Prefix: | cvi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration