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Notes Payable and Long-Term Debt - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
Jan. 24, 2023
Aug. 31, 2022
Debt Instrument [Line Items]            
Interest expense $ 35,967 $ 25,174 $ 69,217 $ 48,606    
Capitalized interest 3,300 1,500 5,700 3,800    
Interest Expense 35,967 $ 25,174 69,217 $ 48,606    
Principal Amount Outstanding of Loans Held-in-portfolio 833,700   833,700      
Long-term Debt 1,816,654   1,816,654     $ 1,668,209
Debt, Weighted Average Interest Rate         5.68%  
Five-Year Revolving Facilities | Line of Credit | Revolving credit facility            
Debt Instrument [Line Items]            
Current borrowing capacity 2,750,000   2,750,000      
Outstanding balance           0
Repurchase Facility | Subordinated Debt            
Debt Instrument [Line Items]            
Outstanding balance 0   0      
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     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 433,000   433,000      
Private Placement            
Debt Instrument [Line Items]            
Long-term Debt $ 1,543,000   $ 1,543,000   $ 150,000 $ 1,545,000