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Business Segments (Details 2) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Segment Reporting Information [Line Items]      
Net sales $ 1,388.9us-gaap_SalesRevenueGoodsNet $ 2,447.4us-gaap_SalesRevenueGoodsNet  
Cost of product sold (exclusive of depreciation and amortization) 1,073.6us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 2,076.9us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization  
Direct operating expenses (exclusive of depreciation and amortization) 111.4us-gaap_DirectOperatingCosts 123.4us-gaap_DirectOperatingCosts  
Depreciation and amortization 42.0us-gaap_DepreciationDepletionAndAmortization 37.3us-gaap_DepreciationDepletionAndAmortization  
Operating income 136.6us-gaap_OperatingIncomeLoss 183.5us-gaap_OperatingIncomeLoss  
Capital expenditures 45.5us-gaap_PaymentsToAcquireProductiveAssets 61.9us-gaap_PaymentsToAcquireProductiveAssets  
Total assets 3,456.1us-gaap_Assets   3,462.5us-gaap_Assets
Goodwill 41.0us-gaap_Goodwill   41.0us-gaap_Goodwill
Operating Segments | Petroleum      
Segment Reporting Information [Line Items]      
Net sales 1,304.4us-gaap_SalesRevenueGoodsNet
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
2,375.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
 
Cost of product sold (exclusive of depreciation and amortization) 1,056.1us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
2,063.3us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
 
Direct operating expenses (exclusive of depreciation and amortization) 87.0us-gaap_DirectOperatingCosts
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
99.2us-gaap_DirectOperatingCosts
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
 
Depreciation and amortization 34.0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
29.5us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
 
Operating income 109.2us-gaap_OperatingIncomeLoss
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
164.6us-gaap_OperatingIncomeLoss
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
 
Capital expenditures 41.7us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
57.9us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
 
Total assets 2,419.5us-gaap_Assets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
  2,417.8us-gaap_Assets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Goodwill 0us-gaap_Goodwill
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
  0us-gaap_Goodwill
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Operating Segments | Nitrogen Fertilizer      
Segment Reporting Information [Line Items]      
Net sales 93.1us-gaap_SalesRevenueGoodsNet
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
80.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
 
Cost of product sold (exclusive of depreciation and amortization) 25.8us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
21.7us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
 
Direct operating expenses (exclusive of depreciation and amortization) 24.4us-gaap_DirectOperatingCosts
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
24.2us-gaap_DirectOperatingCosts
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
 
Depreciation and amortization 6.8us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
6.7us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
 
Operating income 31.5us-gaap_OperatingIncomeLoss
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
23.1us-gaap_OperatingIncomeLoss
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
 
Capital expenditures 2.7us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
3.4us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
 
Total assets 568.1us-gaap_Assets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
  578.8us-gaap_Assets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Goodwill 41.0us-gaap_Goodwill
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
  41.0us-gaap_Goodwill
/ us-gaap_ConsolidationItemsAxis
= us-gaap_OperatingSegmentsMember
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Intersegment elimination      
Segment Reporting Information [Line Items]      
Net sales (8.6)us-gaap_SalesRevenueGoodsNet
/ us-gaap_ConsolidationItemsAxis
= us-gaap_IntersegmentEliminationMember
(8.2)us-gaap_SalesRevenueGoodsNet
/ us-gaap_ConsolidationItemsAxis
= us-gaap_IntersegmentEliminationMember
 
Cost of product sold (exclusive of depreciation and amortization) (8.3)us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_IntersegmentEliminationMember
(8.1)us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_IntersegmentEliminationMember
 
Other      
Segment Reporting Information [Line Items]      
Direct operating expenses (exclusive of depreciation and amortization) 0us-gaap_DirectOperatingCosts
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
0us-gaap_DirectOperatingCosts
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
 
Depreciation and amortization 1.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
1.1us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
 
Operating income (4.1)us-gaap_OperatingIncomeLoss
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
(4.2)us-gaap_OperatingIncomeLoss
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
 
Capital expenditures 1.1us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
0.6us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
 
Total assets 468.5us-gaap_Assets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
  465.9us-gaap_Assets
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
Goodwill $ 0us-gaap_Goodwill
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember
  $ 0us-gaap_Goodwill
/ us-gaap_ConsolidationItemsAxis
= us-gaap_CorporateNonSegmentMember