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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