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Benefit Plans (Details) $ in Millions	12 Months Ended
	Dec. 31, 2015 USD ($) plan	Dec. 31, 2014 USD ($)	Dec. 31, 2013 USD ($)
Compensation and Retirement Disclosure [Abstract]
Number of defined-contribution 401(k) plans | plan	2
Percentage of employer match	100.00%
Percent of employees' gross pay matched	6.00%
Vesting schedule for employer's matching funds	3 years
Matching contributions made by the company during the year | $	$ 7.3	$ 6.6	$ 6.1

X

- Definition

Represents the period over which the matching contributions vest under the defined contribution plan.

+ References

No definition available.

+ Details

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Namespace Prefix:	cvi_
Data Type:	xbrli:durationItemType
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

- References

No definition available.

+ Details

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

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=49170846&loc=d3e28014-114942

+ Details

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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

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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

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