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Notes Payable and Long-Term Debt - Narrative (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Jul. 11, 2023
Jan. 24, 2023
Debt Instrument [Line Items]          
Interest expense $ 137,442 $ 114,156 $ 104,565    
Long-term Debt, Fair Value 1,600,000        
Notes payable 547,923 606,719      
Long-term Debt 1,780,288        
Capitalized Interest (14,000) (6,100) $ (8,000)    
Long-term debt repaid 283,000        
Principal Amount Outstanding of Loans Held-in-portfolio 950,200        
Loans and Leases Receivable, Loans in Process $ 0        
Unsecured debt | Minimum          
Debt Instrument [Line Items]          
Interest rate 4.00%        
Unsecured debt | Maximum          
Debt Instrument [Line Items]          
Interest rate 9.00%        
Five-year revolving facilities | Line of credit | Revolving credit facility          
Debt Instrument [Line Items]          
Line of credit facility, amount outstanding $ 0        
Debt Instrument, Term 5 years        
Line of Credit Facility, Current Borrowing Capacity $ 2,800,000        
Uncommitted lines of credit | Line of credit | Revolving credit facility          
Debt Instrument [Line Items]          
Long-term Line of Credit, Noncurrent 185,900        
Other international subsidiaries, lines of credit | Line of credit | Revolving credit facility          
Debt Instrument [Line Items]          
Line of credit facility, amount outstanding 188,500        
Repurchase Facility [Member] | Subordinated Debt [Member]          
Debt Instrument [Line Items]          
Line of Credit Facility, Maximum Borrowing Capacity       $ 200,000  
Line of Credit Facility, Fair Value of Amount Outstanding 0        
Notes Payable, Other Payables [Member] | Notes Payable, Other Payables [Member] | Revolving credit facility          
Debt Instrument [Line Items]          
Notes payable 375,932 459,398      
Recourse loan commitments | Notes Payable, Other Payables [Member]          
Debt Instrument [Line Items]          
Short-term bank loans and notes payable current borrowing capacity 100,000        
Notes payable 0        
Short-Term Notes Payable, Surplus Funds Program [Member] | Notes Payable, Other Payables [Member]          
Debt Instrument [Line Items]          
Notes payable 172,000        
Committed Member          
Debt Instrument [Line Items]          
maximum availability under securitization 850,000        
Uncommitted Member          
Debt Instrument [Line Items]          
maximum availability under securitization $ 250,000        
Additional Private placement, payable in its entirety in 2030          
Debt Instrument [Line Items]          
Long-term Debt         $ 150,000
Additional Private placement, payable in its entirety in 2030 | Unsecured debt          
Debt Instrument [Line Items]          
Interest rate 5.68%        
Debt Instrument, Face Amount $ 150,000        
Long-term Debt $ 150,000 $ 0