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Business Combinations, Asset Acquisitions, and Joint Venture Formation (Details) - USD ($)
$ in Thousands
6 Months Ended
Jan. 02, 2025
Feb. 28, 2025
Feb. 29, 2024
Aug. 31, 2024
Asset Acquisition [Line Items]        
Cash and cash equivalents   $ 433,300   $ 794,865
Other current assets   1,226,613   1,296,586
Property, plant and equipment   5,417,114   5,177,355
Other assets   1,217,359   1,047,970
Liabilities, Current   (6,782,816)   $ (5,400,814)
Business acquisitions, net of cash acquired   236,461 $ 0  
Working Capital $ 107,300      
Business Combination, Price of Acquisition, Expected $ 321,600      
Central Plains Ag Services        
Asset Acquisition [Line Items]        
Ownership percentage 50.00%      
West Central Ag Services        
Asset Acquisition [Line Items]        
Fair Value $ 18,800      
West Central Ag Services        
Asset Acquisition [Line Items]        
Cash and cash equivalents   85,105    
Other current assets   351,184    
Property, plant and equipment   138,976    
Goodwill   60,538    
Other Intangible Assets, Net   46,500    
Other assets   7,934    
Liabilities, Current   (314,802)    
Liabilities   (34,971)    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net   $ 340,464