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Stock Award Plans - Additional Information (Details) - USD ($)
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Shares authorized to be reserved (in shares) 5,000,000      
Shares available for issuance (in shares) 3,281,946      
Award vesting period (in years) 5 years      
Contractual term of award (in years) 10 years      
Options granted (in shares) 0 0 0  
Unrecognized compensation cost for stock options, net of forfeitures $ 0      
Compensation cost for stock options $ 0 $ 0 $ 89,000  
Restricted Stock Awards        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Equity instruments other than options, nonvested (in shares) 460,999 466,681 490,363 521,302
Fair market value at date of grant at restricted stock $ 10,381,697      
Compensation cost for stock options $ 4,259,458 $ 3,658,539 $ 3,357,108  
Minimum | Restricted Stock Awards        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period (in years) 1 year      
Maximum | Restricted Stock Awards        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period (in years) 7 years