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Notes Payable and Long-Term Debt - Schedule of Notes Payable and Long-Term Debt (Details) - USD ($)
$ in Thousands
Feb. 29, 2024
Aug. 31, 2023
Debt Instrument [Line Items]    
Notes payable $ 412,800 $ 547,923
Notes payable [Member]    
Debt Instrument [Line Items]    
Notes payable 288,710 375,932
CHS Capital notes payable    
Debt Instrument [Line Items]    
Notes payable $ 124,090 $ 171,991