Related Party Transactions (Details) - Primarily CF Nitrogen, TEMCO, Ardent Mills and Ventura Foods - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Related Party Transaction [Line Items]
Sales	$ 1,511,532	$ 2,744,482	$ 2,528,921
Purchases	2,040,357	2,682,165	$ 872,819
Due from related parties	78,600	40,485
Due to related parties	$ 140,174	$ 90,986