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Stock-based Compensation - Restricted Stock and Restricted Stock Unit Activity (Details) - Restricted Stock Awards
12 Months Ended
Sep. 30, 2020
$ / shares
shares
Performance Vesting  
Shares/ Units  
Nonvested at beginning of period (in shares) | shares 263,910
Granted (in shares) | shares 91,662
Vested (in shares) | shares (86,287)
Forfeited (in shares) | shares (9,341)
Nonvested at end of period (in shares) | shares 259,944
Weighted Average Grant Date Fair Value Per Share  
Nonvested at beginning of period (in dollars per share) | $ / shares $ 73.20
Granted (in dollars per share) | $ / shares 76.19
Vested (in dollars per share) | $ / shares 58.68
Forfeited (in dollars per share) | $ / shares 79.34
Nonvested at end of period (in dollars per share) | $ / shares $ 78.92
Time Vesting  
Shares/ Units  
Nonvested at beginning of period (in shares) | shares 96,277
Granted (in shares) | shares 33,350
Vested (in shares) | shares (32,326)
Forfeited (in shares) | shares (3,628)
Nonvested at end of period (in shares) | shares 93,673
Weighted Average Grant Date Fair Value Per Share  
Nonvested at beginning of period (in dollars per share) | $ / shares $ 72.83
Granted (in dollars per share) | $ / shares 76.13
Vested (in dollars per share) | $ / shares 65.28
Forfeited (in dollars per share) | $ / shares 76.94
Nonvested at end of period (in dollars per share) | $ / shares $ 76.45