Represents the number of defined-contribution 401(k) plans.

No definition available.

Name:	cvi_DefinedContributionPlansNumber
Namespace Prefix:	cvi_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

- Definition

Share-Based Compensation Arrangement By Share-Based Payment Award, Maximum Cash Payment

+ References

No definition available.

+ Details

Name:	cvi_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumCashPayment
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Share-Based Compensation Arrangement By Share-Based Payment Award, Maximum Price Per Share To Trigger Maximum Cash Payment

+ References

No definition available.

+ Details

Name:	cvi_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumPricePerShareToTriggerMaximumCashPayment
Namespace Prefix:	cvi_
Data Type:	num:perShareItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the number of shares, right to receive cash payment equal to fair value of which is received per unit on vesting of award.

+ References

No definition available.

+ Details

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

- Definition

Share-based Compensation Arrangement by Share-based Payment Award, Period for Determination of Cash Payment Value

+ References

No definition available.

+ Details

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

- Definition

Share-based Compensation Arrangement by Share-based Payment Award, Number of Award Agreements

+ References

No definition available.

+ Details

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

- Definition

Share-based Compensation Arrangement by Share-based Payment Award, Target Value

+ References

No definition available.

+ Details

Name:	cvi_SharebasedCompensationArrangementbySharebasedPaymentAwardTargetValue
Namespace Prefix:	cvi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of cost for defined contribution plan.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 715
-SubTopic 70
-Section 50
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=49170846&loc=d3e28014-114942

+ Details

Name:	us-gaap_DefinedContributionPlanCostRecognized
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Total of the carrying values as of the balance sheet date of obligations incurred through that date and payable for obligations related to services received from employees, such as accrued salaries and bonuses, payroll taxes and fringe benefits. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.20)
-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

+ Details

Name:	us-gaap_EmployeeRelatedLiabilitiesCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Period which an employee's right to exercise an award is no longer contingent on satisfaction of either a service condition, market condition or a performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (a)(1)
-URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901

+ Details

Name:	us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

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

- Definition

Percentage of vesting of share-based compensation awards.

+ References

+ Details

Name:	us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_PlanNameAxis=cvi_CEOPerformanceAward2018Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_AwardTypeAxis=cvi_PerformanceUnitAwardsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_PlanNameAxis=cvi_FormerCEOPerformanceAwardMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VestingAxis=us-gaap_ShareBasedCompensationAwardTrancheOneMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VestingAxis=us-gaap_ShareBasedCompensationAwardTrancheTwoMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VestingAxis=us-gaap_ShareBasedCompensationAwardTrancheThreeMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Share-Based Compensation (Details)		12 Months Ended
Share-Based Compensation (Details)	Nov. 01, 2017 USD ($) trading_day agreement $ / shares	Dec. 31, 2018 USD ($) plan shares	Dec. 31, 2017 USD ($)	Dec. 31, 2016 USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares right to receive cash payment on vesting equal to fair market value is received per award (in shares) \| shares		1
Vesting period		3 years
Number of defined-contribution 401(k) plans \| plan		2
Matching contributions made by the company		$ 9,000,000	$ 9,000,000	$ 8,000,000
2018 CEO Performance Award \| Performance awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of performance award agreements entered into \| agreement	2
Target value of awards granted		1,500,000
Maximum cash payment	$ 10,000,000
Period for determination of cash payment value \| trading_day	30
Maximum price per share to trigger maximum cash payment (in dollars per share) \| $ / shares	$ 60
Outstanding liability		2,000,000
Former CEO Performance Award \| Performance awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding liability		$ 0
Vesting Year One
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting percentage		33.33%
Vesting Year Two
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting percentage		33.33%
Vesting Year Three
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting percentage		33.33%