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Leases - Additional Information (Details) $ in Millions	3 Months Ended
	Mar. 31, 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]
Operating lease not yet commenced		$ 8
Finance lease not yet commenced			$ 20
Maximum
Lessee, Lease, Description [Line Items]
Operating lease not yet commenced		$ 12
Finance lease not yet commenced			$ 25

X

- 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

X

- Definition

Lessee, Number of Options to Extend Lease Term

+ References

No definition available.

+ Details

Name:	cvi_LesseeNumberOfOptionsToExtendLeaseTerm
Namespace Prefix:	cvi_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- 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

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

X

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: