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Stock Award Plans - Narrative (Details) - USD ($)
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Contractual term of award (in years) 10 years      
Options granted (in shares) 0 1,043,349 356,343  
Compensation cost for stock options $ 1,676,000 $ 1,344,000 $ 521,000  
Stock Option Awards        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation cost for stock options, net of forfeitures $ 1,527,457      
Restricted Stock Awards        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Equity instruments other than options, nonvested (in shares) 522,991 409,469 435,838 460,999
Fair market value at date of grant at restricted stock $ 10,438,900      
Compensation cost for stock options $ 4,473,000 $ 4,453,000 $ 4,188,000  
Minimum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period (in years) 3 years      
Minimum | Restricted Stock Awards        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period (in years) 1 year      
Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period (in years) 5 years      
Maximum | Restricted Stock Awards        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period (in years) 7 years      
2020 Incentive Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Shares available for grant (in shares) 3,200,000      
Shares available for issuance (in shares) 2,318,974