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Investments - Narrative (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
May 31, 2025 | May 31, 2024 | May 31, 2025 | May 31, 2024 | Aug. 31, 2024
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | $ (204,605) | $ (151,999) | $ (418,970) | $ (373,167) |
Investments | 3,901,119 |  | 3,901,119 |  | $ 3,780,967
Cumulative undistributed earnings from equity medthod investees | $ 749,000 |  | $ 749,000 |  |
CF Nitrogen LLC [Member] |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 8.40% |  | 8.40% |  |
Equity Method Investments | $ 2,614,328 |  | $ 2,614,328 |  | 2,544,530
Ventura Foods, LLC |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 50.00% |  | 50.00% |  |
Equity Method Investments | $ 518,774 |  | $ 518,774 |  | 511,231
Ardent Mills LLC [Member] |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 12.00% |  | 12.00% |  |
Equity Method Investments | $ 238,388 |  | $ 238,388 |  | 234,021
Producer Ag |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 57.00% |  | 57.00% |  |
Equity Method Investments | $ 35,890 |  | $ 35,890 |  | $ 15,274
Nitrogen Production [Member] |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | (87,235) | (87,313) | (199,014) | (218,905) |
Corporate and Other |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | (96,854) | (46,646) | (155,424) | (105,859) |
Ag |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | $ (20,318) | $ (18,448) | $ (64,694) | $ (50,496) |

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