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Fair Value Measurements - Additional Information (Details) - shares	1 Months Ended	3 Months Ended
	Mar. 31, 2016	Jun. 30, 2016
Fair Value Disclosures [Abstract]
Common units purchased (in units)	400,000
Common units sold (in units)		400,000

X

- Definition

Noncontrolling Interest, Decrease from Redemption or Purchase of Interests, Units

+ References

No definition available.

+ Details

Name:	cvi_NoncontrollingInterestDecreasefromRedemptionorPurchaseofInterestsUnits
Namespace Prefix:	cvi_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Noncontrolling Interest, Increase from Business Combination, Units

+ References

No definition available.

+ Details

Name:	cvi_NoncontrollingInterestIncreasefromBusinessCombinationUnits
Namespace Prefix:	cvi_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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