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Business Segments (Details 2) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Segment Reporting Information [Line Items]                      
Net sales $ 1,841.8us-gaap_SalesRevenueGoodsNet $ 2,279.9us-gaap_SalesRevenueGoodsNet $ 2,540.3us-gaap_SalesRevenueGoodsNet $ 2,447.4us-gaap_SalesRevenueGoodsNet $ 2,436.0us-gaap_SalesRevenueGoodsNet $ 1,977.1us-gaap_SalesRevenueGoodsNet $ 2,220.3us-gaap_SalesRevenueGoodsNet $ 2,352.4us-gaap_SalesRevenueGoodsNet $ 9,109.5us-gaap_SalesRevenueGoodsNet $ 8,985.8us-gaap_SalesRevenueGoodsNet $ 8,567.3us-gaap_SalesRevenueGoodsNet
Cost of product sold (exclusive of depreciation and amortization) 1,733.4us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 2,066.7us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 2,189.0us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 2,076.9us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 2,219.7us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 1,744.4us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 1,785.4us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 1,813.6us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 8,066.0us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 7,563.2us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization 6,696.9us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
Direct operating expenses (exclusive of depreciation and amortization) 134.7us-gaap_DirectOperatingCosts 136.8us-gaap_DirectOperatingCosts 120.1us-gaap_DirectOperatingCosts 123.4us-gaap_DirectOperatingCosts 110.6us-gaap_DirectOperatingCosts 128.4us-gaap_DirectOperatingCosts 108.3us-gaap_DirectOperatingCosts 108.5us-gaap_DirectOperatingCosts 515.1us-gaap_DirectOperatingCosts 455.8us-gaap_DirectOperatingCosts 522.1us-gaap_DirectOperatingCosts
Depreciation and amortization 40.8us-gaap_DepreciationDepletionAndAmortization 37.8us-gaap_DepreciationDepletionAndAmortization 38.6us-gaap_DepreciationDepletionAndAmortization 37.3us-gaap_DepreciationDepletionAndAmortization 37.4us-gaap_DepreciationDepletionAndAmortization 36.2us-gaap_DepreciationDepletionAndAmortization 35.0us-gaap_DepreciationDepletionAndAmortization 34.2us-gaap_DepreciationDepletionAndAmortization 154.4us-gaap_DepreciationDepletionAndAmortization 142.8us-gaap_DepreciationDepletionAndAmortization 130.0us-gaap_DepreciationDepletionAndAmortization
Operating income (90.6)us-gaap_OperatingIncomeLoss 6.8us-gaap_OperatingIncomeLoss 164.6us-gaap_OperatingIncomeLoss 183.5us-gaap_OperatingIncomeLoss 39.7us-gaap_OperatingIncomeLoss 40.4us-gaap_OperatingIncomeLoss 262.7us-gaap_OperatingIncomeLoss 367.7us-gaap_OperatingIncomeLoss 264.3us-gaap_OperatingIncomeLoss 710.5us-gaap_OperatingIncomeLoss 1,034.9us-gaap_OperatingIncomeLoss
Capital expenditures                 218.4us-gaap_PaymentsToAcquireProductiveAssets 256.5us-gaap_PaymentsToAcquireProductiveAssets 212.2us-gaap_PaymentsToAcquireProductiveAssets
Total assets 3,462.5us-gaap_Assets       3,665.8us-gaap_Assets       3,462.5us-gaap_Assets 3,665.8us-gaap_Assets 3,610.9us-gaap_Assets
Goodwill 41.0us-gaap_Goodwill       41.0us-gaap_Goodwill       41.0us-gaap_Goodwill 41.0us-gaap_Goodwill 41.0us-gaap_Goodwill
Petroleum                      
Segment Reporting Information [Line Items]                      
Net sales                 8,829.7us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
8,683.5us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
8,281.5us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Cost of product sold (exclusive of depreciation and amortization)                 8,013.4us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
7,526.7us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
6,667.3us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Direct operating expenses (exclusive of depreciation and amortization)                 416.0us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
361.7us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
426.5us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Depreciation and amortization                 122.5us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
114.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
107.6us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Operating income                 207.2us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
603.0us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
1,012.5us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Capital expenditures                 191.3us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
204.5us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
120.0us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Total assets 2,417.8us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
      2,533.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
      2,417.8us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
2,533.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
2,258.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Goodwill 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
      0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
      0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_PetroleumSegmentMember
Nitrogen Fertilizer                      
Segment Reporting Information [Line Items]                      
Net sales                 298.7us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
323.7us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
302.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Cost of product sold (exclusive of depreciation and amortization)                 72.0us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
58.1us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
46.1us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Direct operating expenses (exclusive of depreciation and amortization)                 98.9us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
94.1us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
95.6us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Depreciation and amortization                 27.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
25.6us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
20.7us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Operating income                 82.8us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
124.9us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
115.8us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Capital expenditures                 21.1us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
43.8us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
82.2us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Total assets 578.8us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
      593.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
      578.8us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
593.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
623.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Goodwill 41.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
      41.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
      41.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
41.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
41.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= cvi_NitrogenFertilizerSegmentMember
Intersegment elimination                      
Segment Reporting Information [Line Items]                      
Net sales                 (18.9)us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(21.4)us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(16.5)us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Cost of product sold (exclusive of depreciation and amortization)                 (19.4)us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(21.6)us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(16.5)us-gaap_CostOfGoodsSoldExcludingDepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Other                      
Segment Reporting Information [Line Items]                      
Direct operating expenses (exclusive of depreciation and amortization)                 0.2us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_DirectOperatingCosts
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Depreciation and amortization                 4.6us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
2.9us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
1.7us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Operating income                 (25.7)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(17.4)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(93.4)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Capital expenditures                 6.0us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
8.2us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
10.0us-gaap_PaymentsToAcquireProductiveAssets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Total assets 465.9us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
      539.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
      465.9us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
539.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
729.4us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Goodwill $ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
      $ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
      $ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
$ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
$ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember