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Equity (Details) - USD ($) $ in Thousands	12 Months Ended
Equity (Details) - USD ($) $ in Thousands	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Patronage [Line Items]
Total Patronage refunds, estimated	$ 229,100
Estimated Patronage distributed in cash	30,000
Patronage distributed in cash	300,300	$ 366,000	$ 503,100
Total estimated patronage distributed in equity	199,100
nonqualified patronage, estimated	144,100
Total patronage	660,500	1,243,300	1,174,000
Total patronage distributed in equity	$ 360,200	$ 877,300	$ 670,900