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Investments - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 29, 2024
Feb. 28, 2023
Feb. 29, 2024
Feb. 28, 2023
Aug. 31, 2023
Schedule of Equity Method Investments [Line Items]          
Equity income from investments $ (112,117) $ (178,334) $ (221,168) $ (360,296)  
Investments 3,780,129   3,780,129   $ 3,828,872
Cumulative undistributed earnings from equity medthod investees $ 601,600   $ 601,600    
CF Nitrogen LLC [Member]          
Schedule of Equity Method Investments [Line Items]          
Ownership percentage 9.00%   9.00%    
Equity Method Investments $ 2,565,318   $ 2,565,318   2,577,391
Ventura Foods, LLC          
Schedule of Equity Method Investments [Line Items]          
Ownership percentage 50.00%   50.00%    
Equity Method Investments $ 488,751   $ 488,751   519,169
Ardent Mills LLC [Member]          
Schedule of Equity Method Investments [Line Items]          
Ownership percentage 12.00%   12.00%    
Equity Method Investments $ 237,104   $ 237,104   $ 265,146
Nitrogen Production [Member]          
Schedule of Equity Method Investments [Line Items]          
Equity income from investments (68,329) (115,014) (131,592) (242,580)  
Corporate and Other          
Schedule of Equity Method Investments [Line Items]          
Equity income from investments (30,812) (46,374) (59,213) (81,240)  
Ag          
Schedule of Equity Method Investments [Line Items]          
Equity income from investments $ (12,828) $ (15,472) $ (32,048) $ (38,534)