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Notes Payable and Long-Term Debt - Schedule of Notes Payable and Long-Term Debt (Details) - USD ($) $ in Thousands | May 31, 2025 | Aug. 31, 2024
--- | --- | ---
Debt Instrument [Line Items] |  |
Notes payable | $ 1,849,828 | $ 306,831
Notes payable [Member] |  |
Debt Instrument [Line Items] |  |
Notes payable | 770,197 | 163,136
CHS Capital notes payable |  |
Debt Instrument [Line Items] |  |
Notes payable | $ 1,079,631 | $ 143,695

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