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Leases - Additional Information (Details) $ in Millions	9 Months Ended
	Sep. 30, 2022 option	Jul. 14, 2022 USD ($)	Feb. 21, 2022 USD ($)
Leases [Abstract]
Number of options to extend the lease term | option	1
Finance lease not yet commenced			$ 25
Operating lease not yet commenced		$ 12

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

- References

No definition available.

+ Details

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