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Capitalization and Short-Term Borrowings - Schedule of Share-Based Compensation for Restricted Stock Units and Performance Shares (Details) - $ / shares
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Non-Performance Based Restricted Stock Units (RSUs)      
Number of Restricted Stock Units      
Outstanding, beginning of year (in shares) 438,193    
Granted (in shares) 132,352 220,778 133,173
Vested (in shares) (128,028)    
Forfeited (in shares) (13,270)    
Outstanding, end of year (in shares) 429,247 438,193  
Weighted Average Fair Value per Award      
Outstanding, beginning of year (in dollars per share) $ 46.70    
Granted (in dollars per share) 58.64 $ 42.44 $ 58.10
Vested (in dollars per share) 49.14    
Forfeited (in dollars per share) 50.78    
Outstanding, end of year (in dollars per share) $ 49.53 $ 46.70  
Performance Shares      
Number of Restricted Stock Units      
Outstanding, beginning of year (in shares) 719,577    
Granted (in shares) 239,042 361,729 202,259
Vested (in shares) (108,799)    
Forfeited (in shares) (206,823)    
Change in Units Based on Performance Achieved (in shares) 9,478    
Outstanding, end of year (in shares) 652,475 719,577  
Weighted Average Fair Value per Award      
Outstanding, beginning of year (in dollars per share) $ 54.69    
Granted (in dollars per share) 55.43 $ 44.23 $ 64.28
Vested (in dollars per share) 56.98    
Forfeited (in dollars per share) 61.05    
Change in Units Based on Performance Achieved (in dollars per share) 53.47    
Outstanding, end of year (in dollars per share) $ 52.55 $ 54.69