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Borrowings - Adviser Revolver (Narrative) (Details) - USD ($)
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Jun. 13, 2025
Jun. 12, 2025
Debt Instrument [Line Items]          
Long-term debt $ 4,900,773,000 $ 4,599,430,000      
Average stated interest rate 5.80% 6.20% 4.90%    
Adviser Revolver          
Debt Instrument [Line Items]          
Interest rate 3.90%        
Adviser Revolver | Line of Credit          
Debt Instrument [Line Items]          
Long-term debt $ 39,200,000 $ 0      
Other Short-Term Borrowings          
Debt Instrument [Line Items]          
Short-term debt, average outstanding amount 4,892,712,000 3,492,575,000 $ 3,069,412,000    
Revolving Credit Facility | Adviser Revolver | Line of Credit          
Debt Instrument [Line Items]          
Line of credit facility, maximum borrowing capacity $ 300,000,000 $ 200,000,000   $ 300,000,000 $ 200,000,000
Interest rate 3.90%