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Investments - Narrative (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Feb. 28, 2025 | Feb. 29, 2024 | Feb. 28, 2025 | Feb. 29, 2024 | Aug. 31, 2024
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | $ (92,070) | $ (112,117) | $ (214,365) | $ (221,168) |
Investments | 3,768,144 |  | 3,768,144 |  | $ 3,780,967
Cumulative undistributed earnings from equity medthod investees | $ 613,800 |  | $ 613,800 |  |
CF Nitrogen LLC [Member] |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 8.40% |  | 8.40% |  |
Equity Method Investments | $ 2,527,092 |  | $ 2,527,092 |  | 2,544,530
Ventura Foods, LLC |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 50.00% |  | 50.00% |  |
Equity Method Investments | $ 485,131 |  | $ 485,131 |  | 511,231
Ardent Mills LLC [Member] |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 12.00% |  | 12.00% |  |
Equity Method Investments | $ 242,726 |  | $ 242,726 |  | 234,021
Producer Ag |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Ownership percentage | 57.00% |  | 57.00% |  |
Equity Method Investments | $ 39,904 |  | $ 39,904 |  | $ 15,274
Nitrogen Production [Member] |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | (54,962) | (68,329) | (111,779) | (131,592) |
Corporate and Other |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | (24,144) | (30,812) | (58,570) | (59,213) |
Ag |  |  |  |  |
Schedule of Equity Method Investments [Line Items] |  |  |  |  |
Equity income from investments | $ (12,477) | $ (12,828) | $ (44,376) | $ (32,048) |

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