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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, 2024
Sep. 30, 2023
Sep. 30, 2022
Non-Performance Based Restricted Stock Units (RSUs)      
Number of Restricted Stock Units      
Outstanding, beginning of year (in shares) 342,186    
Granted (in shares) 220,778 133,173 128,950
Vested (in shares) (115,337)    
Forfeited (in shares) (9,434)    
Outstanding, end of year (in shares) 438,193 342,186  
Weighted Average Fair Value per Award      
Outstanding, beginning of year (in dollars per share) $ 49.63    
Granted (in dollars per share) 42.44 $ 58.10 $ 54.10
Vested (in dollars per share) 46.92    
Forfeited (in dollars per share) 50.43    
Outstanding, end of year (in dollars per share) $ 46.70 $ 49.63  
Performance Shares      
Number of Restricted Stock Units      
Outstanding, beginning of year (in shares) 586,791    
Granted (in shares) 361,729 202,259 195,397
Vested (in shares) (251,255)    
Forfeited (in shares) (35,357)    
Change in Units Based on Performance Achieved (in shares) 57,669    
Outstanding, end of year (in shares) 719,577 586,791  
Weighted Average Fair Value per Award      
Outstanding, beginning of year (in dollars per share) $ 55.46    
Granted (in dollars per share) 44.23 $ 64.28 $ 65.39
Vested (in dollars per share) 38.62    
Forfeited (in dollars per share) 46.49    
Change in Units Based on Performance Achieved (in dollars per share) 37.36    
Outstanding, end of year (in dollars per share) $ 54.69 $ 55.46