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Related Party Transactions - Insight Portfolio Group (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2018	Mar. 31, 2017
Insight Portfolio Group LLC
Related Party Transaction [Line Items]
Related party payments	$ 0.2	$ 0.1

X

- Definition

Represents the amount of payment to related party.

+ References

No definition available.

+ Details

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

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

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=cvi_InsightPortfolioGroupLLCMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: