Notes Payable and Long-Term Debt - Schedule of Notes Payable and Long-Term Debt (Details) - USD ($) $ in Thousands	May 31, 2024	Aug. 31, 2023
Debt Instrument [Line Items]
Notes payable	$ 337,538	$ 547,923
Notes payable [Member]
Debt Instrument [Line Items]
Notes payable	218,204	375,932
CHS Capital notes payable
Debt Instrument [Line Items]
Notes payable	$ 119,334	$ 171,991