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Investments - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Aug. 31, 2024
Schedule of Equity Method Investments [Line Items]          
Equity income from investments $ (204,605) $ (151,999) $ (418,970) $ (373,167)  
Investments 3,901,119   3,901,119   $ 3,780,967
Cumulative undistributed earnings from equity medthod investees $ 749,000   $ 749,000    
CF Nitrogen LLC [Member]          
Schedule of Equity Method Investments [Line Items]          
Ownership percentage 8.40%   8.40%    
Equity Method Investments $ 2,614,328   $ 2,614,328   2,544,530
Ventura Foods, LLC          
Schedule of Equity Method Investments [Line Items]          
Ownership percentage 50.00%   50.00%    
Equity Method Investments $ 518,774   $ 518,774   511,231
Ardent Mills LLC [Member]          
Schedule of Equity Method Investments [Line Items]          
Ownership percentage 12.00%   12.00%    
Equity Method Investments $ 238,388   $ 238,388   234,021
Producer Ag          
Schedule of Equity Method Investments [Line Items]          
Ownership percentage 57.00%   57.00%    
Equity Method Investments $ 35,890   $ 35,890   $ 15,274
Nitrogen Production [Member]          
Schedule of Equity Method Investments [Line Items]          
Equity income from investments (87,235) (87,313) (199,014) (218,905)  
Corporate and Other          
Schedule of Equity Method Investments [Line Items]          
Equity income from investments (96,854) (46,646) (155,424) (105,859)  
Ag          
Schedule of Equity Method Investments [Line Items]          
Equity income from investments $ (20,318) $ (18,448) $ (64,694) $ (50,496)