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Stock and Other Compensation Plans - Schedule of Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Number of Restricted Units      
Nonvested at beginning of year (in shares) 381,295 378,127 443,279
Granted (in shares) 241,436 179,738 223,954
Vested (in shares) (220,929) (159,019) (271,435)
Forfeited (in shares) (11,845) (17,551) (17,671)
Nonvested at end of year (in shares) 389,957 381,295 378,127
Weighted Average Grant-Date Fair Value      
Nonvested at beginning of year (USD per share) $ 105.69 $ 102.45 $ 99.28
Granted (USD per share) 109.78 108.07 102.68
Vested (USD per share) 104.05 100.99 97.44
Forfeited (USD per share) 107.47 103.37 101.48
Nonvested at end of year (USD per share) $ 109.10 $ 105.69 $ 102.45