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Investments - Narrative (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
Investments - Narrative (Details) - USD ($) $ in Thousands	Feb. 28, 2022	Feb. 28, 2021	Feb. 28, 2022	Feb. 28, 2021	Aug. 31, 2021
Schedule of Equity Method Investments [Line Items]
Equity income from investments	$ (229,923)	$ (64,109)	$ (381,268)	$ (114,132)
Investments	3,788,710		3,788,710		$ 3,669,111
Investment Company, Distributable Earnings	$ 549,200		$ 549,200
CF Nitrogen LLC [Member]
Schedule of Equity Method Investments [Line Items]
Ownership percentage	10.00%		10.00%
Equity Method Investments	$ 2,712,295		$ 2,712,295		2,667,164
Ventura Foods, LLC
Schedule of Equity Method Investments [Line Items]
Ownership percentage	50.00%		50.00%
Equity Method Investments	$ 411,176		$ 411,176		388,612
TEMCO, LLC
Schedule of Equity Method Investments [Line Items]
Ownership percentage	50.00%		50.00%
Equity Method Investments	$ 51,580		$ 51,580		31,464
Ardent Mills LLC [Member]
Schedule of Equity Method Investments [Line Items]
Ownership percentage	12.00%		12.00%
Equity Method Investments	$ 233,898		$ 233,898		$ 220,132
Nitrogen Production [Member]
Schedule of Equity Method Investments [Line Items]
Equity income from investments	(176,119)	(31,344)	(292,592)	(53,033)
Corporate and Other
Schedule of Equity Method Investments [Line Items]
Equity income from investments	(33,947)	(14,988)	(47,985)	(32,660)
Ag
Schedule of Equity Method Investments [Line Items]
Equity income from investments	$ (18,275)	$ (16,945)	$ (38,009)	$ (27,118)