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Notes Payable and Long-Term Debt - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Oct. 29, 2024
Aug. 31, 2024
Debt Instrument [Line Items]            
Interest expense $ 25,205 $ 25,460 $ 52,853 $ 55,088    
Capitalized interest 7,100 6,500 14,600 11,500    
Interest Expense, Operating and Nonoperating 25,205 $ 25,460 52,853 $ 55,088    
Principal Amount Outstanding of Loans Held-in-portfolio 595,400   595,400      
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 451,000   451,000     $ 0
Repurchase Facility | Subordinated Debt            
Debt Instrument [Line Items]            
Outstanding balance 127,500   127,500      
Maximum borrowing capacity 200,000   200,000      
Repurchase Facility | loan amount utilized            
Debt Instrument [Line Items]            
Outstanding balance 121,300   121,300      
Term loans from cooperatives and other banks, 430K payable in 2025 | Unsecured Debt            
Debt Instrument [Line Items]            
Long-term Debt 0   0     1,000
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 500,000   500,000      
Private Placement            
Debt Instrument [Line Items]            
Long-term Debt 1,963,000   1,963,000     $ 2,113,000
Unsecured term loans            
Debt Instrument [Line Items]            
Long-term Debt $ 0   $ 0   $ 300,000