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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, 2023
Sep. 30, 2022
Sep. 30, 2021
Non-Performance Based Restricted Stock Units (RSUs)      
Number of Restricted Stock Units      
Outstanding, beginning of year (in shares) 347,427    
Granted (in shares) 133,173 128,950 172,513
Vested (in shares) (119,147)    
Forfeited (in shares) (19,267)    
Outstanding, end of year (in shares) 342,186 347,427  
Weighted Average Fair Value per Award      
Outstanding, beginning of year (in dollars per share) $ 44.58    
Granted (in dollars per share) 58.10 $ 54.10 $ 37.98
Vested (in dollars per share) 44.82    
Forfeited (in dollars per share) 46.88    
Outstanding, end of year (in dollars per share) $ 49.63 $ 44.58  
Performance Shares      
Number of Restricted Stock Units      
Outstanding, beginning of year (in shares) 607,179    
Granted (in shares) 202,259 195,397 309,470
Vested (in shares) (278,687)    
Forfeited (in shares) (22,805)    
Change in Units Based on Performance Achieved (in shares) 78,845    
Outstanding, end of year (in shares) 586,791 607,179  
Weighted Average Fair Value per Award      
Outstanding, beginning of year (in dollars per share) $ 48.60    
Granted (in dollars per share) 64.28 $ 65.39 $ 39.19
Vested (in dollars per share) 42.58    
Forfeited (in dollars per share) 57.20    
Change in Units Based on Performance Achieved (in dollars per share) 40.69    
Outstanding, end of year (in dollars per share) $ 55.46 $ 48.60