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Notes Payable and Long-Term Debt - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Feb. 28, 2022
Feb. 28, 2021
Aug. 31, 2021
Debt Instrument [Line Items]          
Interest expense $ 25,174 $ 28,855 $ 48,606 $ 53,905  
Capitalized interest 1,500 2,100 3,800 4,200  
Interest Expense 25,174 $ 28,855 48,606 $ 53,905  
Principal Amount Outstanding of Loans Held-in-portfolio 873,000   873,000    
Long-term Debt 1,955,205   $ 1,955,205   $ 1,579,911
Five-Year Revolving Facilities | Line of Credit | Revolving credit facility          
Debt Instrument [Line Items]          
Debt instrument, term     5 years    
Current borrowing capacity 2,750,000   $ 2,750,000    
Outstanding balance 820,000   820,000   0
Repurchase Facility | Subordinated Debt          
Debt Instrument [Line Items]          
Outstanding balance 150,000   150,000    
Maximum borrowing capacity 150,000   150,000    
Term loans from cooperatives and other banks, 430K payable in 2025 | Unsecured Debt          
Debt Instrument [Line Items]          
Long-term Debt 366,000   366,000   $ 0
committed          
Debt Instrument [Line Items]          
maximum availability under securitization 700,000   700,000    
uncommitted          
Debt Instrument [Line Items]          
maximum availability under securitization 250,000   250,000    
utilized          
Debt Instrument [Line Items]          
Principal Amount Outstanding of Loans Held-in-portfolio $ 700,000   $ 700,000