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Stock and Other Compensation Plans - Schedule of Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Number of Restricted Units      
Nonvested at beginning of year (in shares) 443,279 503,072 538,592
Granted (in shares) 223,954 199,985 241,472
Vested (in shares) (271,435) (242,975) (269,347)
Forfeited (in shares) (17,671) (16,803) (7,645)
Nonvested at end of year (in shares) 378,127 443,279 503,072
Weighted Average Grant-Date Fair Value      
Nonvested at beginning of year (in dollars per share) $ 99.28 $ 91.66 $ 80.91
Granted (in dollars per share) 102.68 102.34 98.25
Vested (in dollars per share) 97.44 85.66 76.71
Forfeited (in dollars per share) 101.48 96.87 86.37
Nonvested at end of year (in dollars per share) $ 102.45 $ 99.28 $ 91.66