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Stock-Based Compensation - Schedule of Nonvested Stock Activity (Details) - Nonvested Stock Awards [Member] - $ / shares
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Number of Shares      
Nonvested, beginning of year (in shares) 411,510 332,473 352,159
Granted (in shares) 183,725 278,175 163,225
Forfeited (in shares) (27,076) (13,610) (26,915)
Vested (in shares) (221,351) (185,528) (155,996)
Nonvested, end of year (in shares) 346,808 411,510 332,473
Weighted-Average Per Share Fair Value      
Nonvested, beginning of year (in dollars per share) $ 72.66 $ 69.15 $ 55.22
Granted (in dollars per share) 87.82 69.98 86.07
Forfeited (in dollars per share) 80.57 71.17 65.66
Vested (in dollars per share) 73.64 62.47 56.02
Nonvested, end of year (in dollars per share) $ 79.44 $ 72.66 $ 69.15