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Stock and Other Compensation Plans - Schedule of Share-based Compensation, Restricted Stock and Restricted Stock Units Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Number of Restricted Units      
Nonvested at beginning of year (in shares) 503,072 538,592 570,814
Granted (in shares) 199,985 241,472 248,710
Vested (in shares) (242,975) (269,347) (274,392)
Forfeited (in shares) (16,803) (7,645) (6,540)
Nonvested at end of year (in shares) 443,279 503,072 538,592
Weighted Average Grant-Date Fair Value      
Nonvested at beginning of year (in dollars per share) $ 91.66 $ 80.91 $ 69.45
Granted (in dollars per share) 102.34 98.25 85.62
Vested (in dollars per share) 85.66 76.71 64.43
Forfeited (in dollars per share) 96.87 86.37 74.87
Nonvested at end of year (in dollars per share) $ 99.28 $ 91.66 $ 80.91