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Related Party Transactions - Dividends to CVR Energy Stockholders (Details) - USD ($) $ / shares in Units, $ in Millions | 3 Months Ended | 9 Months Ended | 12 Months Ended
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Sep. 30, 2024 | Jun. 30, 2024 | Mar. 31, 2024 | Dec. 31, 2023 | Sep. 30, 2023 | Jun. 30, 2023 | Mar. 31, 2023 | Sep. 30, 2024 | Sep. 30, 2023 | Dec. 31, 2023
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  |  | $ 151 | $ 251 |
O 2024 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  |  |  |  |  | $ 1.50 |  |
Dividends paid |  |  |  |  |  |  |  | $ 151 |  |
O 2024 Q1 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  | $ 0.50 |  |  |  |  |  |  |
Dividends paid |  |  | $ 50 |  |  |  |  |  |  |
O 2024 Q2 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  | $ 0.50 |  |  |  |  |  |  |  |
Dividends paid |  | $ 50 |  |  |  |  |  |  |  |
O 2024 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) | $ 0.50 |  |  |  |  |  |  |  |  |
Dividends paid | $ 50 |  |  |  |  |  |  |  |  |
O 2023 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  |  |  |  |  |  |  | $ 2.00
Dividends paid |  |  |  |  |  |  |  |  |  | $ 201
O 2023 Q1 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  |  |  |  | $ 0.50 |  |  |
Dividends paid |  |  |  |  |  |  | $ 50 |  |  |
O 2023 Q2 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  |  |  | $ 0.50 |  |  |  |
Dividends paid |  |  |  |  |  | $ 50 |  |  |  |
O 2023 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  |  | $ 0.50 |  |  |  |  |
Dividends paid |  |  |  |  | $ 50 |  |  |  |  |
O 2023 Q4 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  | $ 0.50 |  |  |  |  |  |
Dividends paid |  |  |  | $ 50 |  |  |  |  |  |
S 2023 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  |  |  |  |  |  |  | $ 2.50
Dividends paid |  |  |  |  |  |  |  |  |  | $ 251
S 2023 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  |  | $ 1.00 |  |  |  |  |
Dividends paid |  |  |  |  | $ 101 |  |  |  |  |
S 2023 Q4 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid per share (in dollars per share) |  |  |  | $ 1.50 |  |  |  |  |  |
Dividends paid |  |  |  | $ 151 |  |  |  |  |  |
Public Stockholders | O 2024 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  |  | 51 |  |
Public Stockholders | O 2024 Q1 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  | 17 |  |  |  |  |  |  |
Public Stockholders | O 2024 Q2 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  | 17 |  |  |  |  |  |  |  |
Public Stockholders | O 2024 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid | 17 |  |  |  |  |  |  |  |  |
Public Stockholders | O 2023 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  |  |  |  | 61
Public Stockholders | O 2023 Q1 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  | 15 |  |  |
Public Stockholders | O 2023 Q2 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  | 15 |  |  |  |
Public Stockholders | O 2023 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  | 15 |  |  |  |  |
Public Stockholders | O 2023 Q4 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  | 17 |  |  |  |  |  |
Public Stockholders | S 2023 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  |  |  |  | 80
Public Stockholders | S 2023 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  | 29 |  |  |  |  |
Public Stockholders | S 2023 Q4 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  | 51 |  |  |  |  |  |
IEP | O 2024 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  |  | $ 100 |  |
IEP | O 2024 Q1 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  | $ 33 |  |  |  |  |  |  |
IEP | O 2024 Q2 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  | $ 33 |  |  |  |  |  |  |  |
IEP | O 2024 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid | $ 33 |  |  |  |  |  |  |  |  |
IEP | O 2023 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  |  |  |  | 140
IEP | O 2023 Q1 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  | $ 36 |  |  |
IEP | O 2023 Q2 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  | $ 36 |  |  |  |
IEP | O 2023 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  | 36 |  |  |  |  |
IEP | O 2023 Q4 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  | 33 |  |  |  |  |  |
IEP | S 2023 A Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  |  |  |  |  |  | $ 171
IEP | S 2023 Q3 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  |  | $ 71 |  |  |  |  |
IEP | S 2023 Q4 Dividends |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |
Dividends paid |  |  |  | $ 100 |  |  |  |  |  |

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