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Business Combinations, Asset Acquisitions, and Joint Venture Formation (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Jan. 02, 2025
Asset Acquisition [Line Items]        
Cash and cash equivalents $ 327,826 $ 794,865 $ 1,765,286  
Other current assets 801,590 1,296,586    
Property, plant and equipment 5,501,294 5,177,355    
Goodwill 239,441 179,976    
Other assets 1,430,142 1,047,970    
Liabilities, Current (5,282,486) (5,400,814)    
Working Capital 108,000      
Business Combination, Price of Acquisition, Expected 322,600      
Revenues 35,462,608 39,261,229 45,590,004  
(Loss) income before income taxes 614,772 $ 1,097,787 $ 2,007,779  
Central Plains Ag Services        
Asset Acquisition [Line Items]        
Equity method investment, ownership percentage       50.00%
West Central Ag Services        
Asset Acquisition [Line Items]        
Fair Value 28,900      
West Central Ag Services        
Asset Acquisition [Line Items]        
Cash and cash equivalents 85,464      
Other current assets 350,754      
Property, plant and equipment 137,713      
Goodwill 59,465      
Other Intangible Assets, Net 62,500      
Other assets 8,109      
Liabilities, Current (316,474)      
Liabilities, Noncurrent (37,075)      
Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less) 350,456      
Revenues 266,600      
(Loss) income before income taxes $ 10,600