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Organization and Nature of Business (Details)
3 Months Ended 9 Months Ended 12 Months Ended
Nov. 23, 2020
Sep. 30, 2021
USD ($)
shares
Mar. 31, 2021
USD ($)
Sep. 30, 2020
USD ($)
$ / shares
shares
Jun. 30, 2020
USD ($)
Sep. 30, 2021
USD ($)
$ / shares
shares
Sep. 30, 2020
USD ($)
$ / shares
shares
Dec. 31, 2020
USD ($)
Feb. 22, 2021
USD ($)
May 06, 2020
USD ($)
Organization, Consolidation, and Presentation of Financial Statements [Line Items]                    
Changes in equity due to CVR Partners’ common unit repurchases     $ 1,000,000 $ 3,000,000 $ 0          
Recognition of deferred tax liability from change in book versus tax basis in CVR Partners   $ 100,000       $ 100,000   $ 1,000,000    
Additional Paid-In Capital                    
Organization, Consolidation, and Presentation of Financial Statements [Line Items]                    
Changes in equity due to CVR Partners’ common unit repurchases         (1,000,000) 0   (3,000,000)    
Noncontrolling Interest                    
Organization, Consolidation, and Presentation of Financial Statements [Line Items]                    
Changes in equity due to CVR Partners’ common unit repurchases     $ 1,000,000 $ 3,000,000 $ 1,000,000 $ 100,000   $ 4,000,000    
CVR Partners                    
Organization, Consolidation, and Presentation of Financial Statements [Line Items]                    
Percentage of interest held by the public           64.00%        
Unit Repurchase Program, authorized amount                 $ 10,000,000 $ 10,000,000
Common units repurchased on open market (in units) | shares   0   140,378   24,378 229,400      
Cost, inclusive of transaction costs, of repurchase of outstanding common units       $ 1,000,000   $ 500,000 $ 2,000,000      
Average price per common unit (in dollars per share) | $ / shares       $ 9.42   $ 21.70 $ 9.92      
Reverse unit split, conversion ratio 0.1                  
Amount remaining under Unit Repurchase Program   $ 12,400,000       $ 12,400,000        
CVR Services | CVR Partners                    
Organization, Consolidation, and Presentation of Financial Statements [Line Items]                    
Percentage of common units owned by wholly-owned subsidiary           36.00%        
CVR Services | CVR GP                    
Organization, Consolidation, and Presentation of Financial Statements [Line Items]                    
Percentage of common units owned by general partner           100.00%        
Majority Shareholder                    
Organization, Consolidation, and Presentation of Financial Statements [Line Items]                    
Ownership percentage held by controlling stockholder           71.00%