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Benefit Plans (Details) (Defined-contribution 401(k) plans, USD $) In Millions, unless otherwise specified | 12 Months Ended
--- | ---
Dec. 31, 2014 plan | Dec. 31, 2013 | Dec. 31, 2012
Benefit Plans |  |  |
Number of defined-contribution 401(k) plans | 2 cvi_DefinedContributionPlansNumber |  |
Vesting schedule for employer's matching funds | 3 years |  |
Matching contributions made by the company during the year | $ 6.6 us-gaap_DefinedContributionPlanCostRecognized | $ 6.1 us-gaap_DefinedContributionPlanCostRecognized | $ 4.5 us-gaap_DefinedContributionPlanCostRecognized
CVR |  |  |
Benefit Plans |  |  |
Employee contribution limit per calendar year as a percentage of annual salaries | 100.00%us-gaap_DefinedContributionPlanMaximumAnnualContributionsPerEmployeePercent / cvi_DefinedContributionPlansDisclosureByTypeAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_StatementEquityComponentsAxis = us-gaap_ParentMember |  |
Employee contribution limit per calendar year as a percentage of annual income sharing | 100.00%cvi_DefinedContributionPlanEmployeeContributionLimitPercentageOfAnnualIncomeSharing / cvi_DefinedContributionPlansDisclosureByTypeAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_StatementEquityComponentsAxis = us-gaap_ParentMember |  |
Nonunion plan | CVR |  |  |
Benefit Plans |  |  |
Percentage of employer match | 100.00%us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch / cvi_DefinedContributionPlansDisclosureByGroupRecipientAxis = cvi_NonunionPlanMember / cvi_DefinedContributionPlansDisclosureByTypeAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_StatementEquityComponentsAxis = us-gaap_ParentMember |  |
Percent of employees' gross pay matched | 6.00%us-gaap_DefinedContributionPlanEmployerMatchingContributionPercent / cvi_DefinedContributionPlansDisclosureByGroupRecipientAxis = cvi_NonunionPlanMember / cvi_DefinedContributionPlansDisclosureByTypeAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_StatementEquityComponentsAxis = us-gaap_ParentMember |  |
Union plan | CVR |  |  |
Benefit Plans |  |  |
Percentage of employer match | 100.00%us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch / cvi_DefinedContributionPlansDisclosureByGroupRecipientAxis = cvi_UnionPlanMember / cvi_DefinedContributionPlansDisclosureByTypeAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_StatementEquityComponentsAxis = us-gaap_ParentMember |  |
Percent of employees' gross pay matched | 6.00%us-gaap_DefinedContributionPlanEmployerMatchingContributionPercent / cvi_DefinedContributionPlansDisclosureByGroupRecipientAxis = cvi_UnionPlanMember / cvi_DefinedContributionPlansDisclosureByTypeAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_StatementEquityComponentsAxis = us-gaap_ParentMember |  |

X
- Definition The limit of annual employee contributions to the plan per calendar year as a percentage of annual income sharing. + References No definition available. + Details
Name: | cvi_DefinedContributionPlanEmployeeContributionLimitPercentageOfAnnualIncomeSharing
Namespace Prefix: | cvi_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

X
- Definition Represents the period over which the matching contributions vest under the defined contribution plan. + References No definition available. + Details
Name: | cvi_DefinedContributionPlanMatchingContributionVestingPeriod
Namespace Prefix: | cvi_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | cvi_DefinedContributionPlansDisclosureLineItems
Namespace Prefix: | cvi_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Represents the number of defined-contribution 401(k) plans. + References No definition available. + Details
Name: | cvi_DefinedContributionPlansNumber
Namespace Prefix: | cvi_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

X
- Definition The amount of the cost recognized during the period for defined contribution plans. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 70 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6414718&loc=d3e28014-114942 + Details
Name: | us-gaap_DefinedContributionPlanCostRecognized
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Percentage of employees' gross pay for which the employer contributes a matching contribution to a defined contribution plan. + References No definition available. + Details
Name: | us-gaap_DefinedContributionPlanEmployerMatchingContributionPercent
Namespace Prefix: | us-gaap_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

X
- Definition Percentage employer matches of the employee's percentage contribution matched. + References No definition available. + Details
Name: | us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch
Namespace Prefix: | us-gaap_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

X
- Definition Maximum percentage of employee gross pay the employee may contribute to a defined contribution plan. + References No definition available. + Details
Name: | us-gaap_DefinedContributionPlanMaximumAnnualContributionsPerEmployeePercent
Namespace Prefix: | us-gaap_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration