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Stock and Other Compensation Plans - Schedule of Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Number of Restricted Units      
Nonvested at beginning of year (in shares) 378,127 443,279 503,072
Granted (in shares) 179,738 223,954 199,985
Vested (in shares) (159,019) (271,435) (242,975)
Forfeited (in shares) (17,551) (17,671) (16,803)
Nonvested at end of year (in shares) 381,295 378,127 443,279
Weighted Average Grant-Date Fair Value      
Nonvested at beginning of year (USD per share) $ 102.45 $ 99.28 $ 91.66
Granted (USD per share) 108.07 102.68 102.34
Vested (USD per share) 100.99 97.44 85.66
Forfeited (USD per share) 103.37 101.48 96.87
Nonvested at end of year (USD per share) $ 105.69 $ 102.45 $ 99.28