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Commitment and Contingencies - 45Q Transaction (Details) - CVRP JV - Collaborative Arrangement, Transaction with Party to Collaborative Arrangement and Third Party - CRNF $ in Millions	3 Months Ended
	Mar. 31, 2023 USD ($)
Loss Contingencies [Line Items]
Collaborative arrangement, fee threshold per year	$ 15
Fees threshold cap	$ 45

X

- Definition

Collaborative Arrangement, Fee Threshold Per Year

+ References

No definition available.

+ Details

Name:	cvi_CollaborativeArrangementFeeThresholdPerYear
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Collaborative Arrangement, Fees Threshold Cap

+ References

No definition available.

+ Details

Name:	cvi_CollaborativeArrangementFeesThresholdCap
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

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_LossContingenciesLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	srt_CounterpartyNameAxis=cvi_CVRCapturePointParentLLCCVRPJVMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_TypeOfArrangementAxis=us-gaap_CollaborativeArrangementTransactionWithPartyToCollaborativeArrangementAndThirdPartyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	dei_LegalEntityAxis=cvi_CRNFMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: