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Organization and Nature of Business (Details) |  | 3 Months Ended | 9 Months Ended | 12 Months Ended |  |
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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% |  |  |  |

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