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Commitments and Contingencies - RFS (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2020 | Sep. 30, 2019 | Sep. 30, 2020 | Sep. 30, 2019
Petroleum Segment | Environmental, Health, and Safety Matters |  |  |  |
Loss Contingencies [Line Items] |  |  |  |
Expense (benefit) recognized for compliance with RFS | $ 36 | $ (2) | $ 71 | $ 31

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- Definition Expense (Benefit) for Compliance with Renewable Fuel Standard + References No definition available. + Details
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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_LossContingenciesLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_StatementBusinessSegmentsAxis=cvi_PetroleumSegmentMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_LossContingenciesByNatureOfContingencyAxis=cvi_EnvironmentalHealthAndSafetyMattersMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |