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Notes Payable and Long-Term Debt - 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
Debt Instrument [Line Items]          
Interest expense $ 25,460 $ 35,967 $ 55,088 $ 69,217  
Capitalized interest 6,500 3,300 11,500 5,700  
Interest Expense 25,460 $ 35,967 55,088 $ 69,217  
Principal Amount Outstanding of Loans Held-in-portfolio 781,800   781,800    
Long-term Debt 1,671,241   1,671,241   $ 1,819,819
Five-Year Revolving Facilities | Line of Credit | Revolving credit facility          
Debt Instrument [Line Items]          
Current borrowing capacity 2,800,000   2,800,000    
Outstanding balance 0   0   0
Repurchase Facility | Subordinated Debt          
Debt Instrument [Line Items]          
Outstanding balance 0   0   0
Maximum borrowing capacity 200,000   200,000    
Term loans from cooperatives and other banks, 430K payable in 2025 | Unsecured Debt          
Debt Instrument [Line Items]          
Long-term Debt 366,000   366,000   366,000
committed          
Debt Instrument [Line Items]          
maximum availability under securitization 850,000   850,000    
uncommitted          
Debt Instrument [Line Items]          
maximum availability under securitization 250,000   250,000    
loan amount utilized          
Debt Instrument [Line Items]          
Principal Amount Outstanding of Loans Held-in-portfolio 0   0    
Private Placement          
Debt Instrument [Line Items]          
Long-term Debt $ 1,413,000   $ 1,413,000   $ 1,413,000