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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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