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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, 2019
Sep. 30, 2018
Sep. 30, 2017
Number of Restricted Units      
Nonvested at beginning of year (in shares) 538,592 570,814 782,431
Granted (in shares) 241,472 248,710 273,497
Vested (in shares) (269,347) (274,392) (448,326)
Forfeited (in shares) (7,645) (6,540) (36,788)
Nonvested at end of year (in shares) 503,072 538,592 570,814
Weighted Average Grant-Date Fair Value      
Nonvested at beginning of year (in dollars per share) $ 80.91 $ 69.45 $ 57.66
Granted (in dollars per share) 98.25 85.62 74.15
Vested (in dollars per share) 76.71 64.43 52.23
Forfeited (in dollars per share) 86.37 74.87 63.48
Nonvested at end of year (in dollars per share) $ 91.66 $ 80.91 $ 69.45