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Leases - Additional Information (Details) $ in Millions | 6 Months Ended |  |
--- | --- | --- | ---
Jun. 30, 2023 option | Jul. 14, 2022 USD ($) | Feb. 21, 2022 USD ($)
Lessee, Lease, Description [Line Items] |  |  |
Number of options to extend the lease term | option | 1 |  |
Minimum |  |  |
Lessee, Lease, Description [Line Items] |  |  |
Finance lease not yet commenced |  |  | $ 20
Operating lease not yet commenced |  | $ 8 |
Maximum |  |  |
Lessee, Lease, Description [Line Items] |  |  |
Finance lease not yet commenced |  |  | $ 25
Operating lease not yet commenced |  | $ 12 |

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- Definition Lessee, Finance Lease, Lease Not Yet Commenced, Liability + References No definition available. + Details
Name: | cvi_LesseeFinanceLeaseLeaseNotYetCommencedLiability
Namespace Prefix: | cvi_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Lessee, Number of Options to Extend Lease Term + References No definition available. + Details
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Namespace Prefix: | cvi_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

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- Definition Lessee, Operating Lease, Lease Not Yet Commenced, Liability + References No definition available. + Details
Name: | cvi_LesseeOperatingLeaseLeaseNotYetCommencedLiability
Namespace Prefix: | cvi_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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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 Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 842 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Publisher FASB -URI https://asc.fasb.org//1943274/2147478964/842-20-50-3 + Details
Name: | us-gaap_LesseeLeaseDescriptionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |