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Business Combinations, Asset Acquisitions, and Joint Venture Formation (Details) - USD ($)
$ in Thousands
 9 Months Ended
May 31, 2025
May 31, 2024
Jan. 02, 2025
Aug. 31, 2024
Asset Acquisition [Line Items]        
Cash and cash equivalents $ 323,862     $ 794,865
Other current assets 954,021     1,296,586
Property, plant and equipment 5,454,678     5,177,355
Other assets 1,403,738     1,047,970
Liabilities, Current (6,360,369)     $ (5,400,814)
Business acquisitions, net of cash acquired 236,601 $ 0    
Working Capital 107,500      
Business Combination, Price of Acquisition, Expected 322,100      
Central Plains Ag Services        
Asset Acquisition [Line Items]        
Ownership percentage     50.00%  
West Central Ag Services        
Asset Acquisition [Line Items]        
Fair Value 23,800      
West Central Ag Services        
Asset Acquisition [Line Items]        
Cash and cash equivalents 85,464      
Other current assets 350,754      
Property, plant and equipment 138,071      
Goodwill 59,447      
Other Intangible Assets, Net 53,500      
Other assets 8,109      
Liabilities, Current (316,031)      
Liabilities (34,048)      
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less) $ 345,266