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Stock-Based Compensation - Restricted Stock Plan and Performance Shares (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Feb. 25, 2022
Jan. 24, 2020
Mar. 01, 2016
Restricted Stock | 2009 Restricted Stock Plan            
Restricted stock plan activity, number of shares            
Unvested and deferred at beginning of the period (in shares) 142,269          
Granted (in shares) 32,204          
Forfeited / Canceled (in shares) (6,522)          
Vested and deferred (in shares) (71,415)          
Unvested and deferred at end of the period (in shares) 96,536 142,269        
Expected to vest (in shares) 96,536          
Restricted stock plan activity, Weighted Average Fair Value at Grant Date            
Unvested and deferred at beginning of the period (in dollars per share) $ 26.78          
Granted (in dollars per share) 43.98          
Forfeited / Canceled (in dollars per share) 28.79          
Vested and deferred (in dollars per share) 25.63          
Unvested and deferred at end of the period (in dollars per share) 33.23 $ 26.78        
Expected to vest (in dollars per share) $ 33.23          
Deferred Restricted Stock plan activity, number of shares            
Vested (in shares) 71,415          
Deferred Restricted Stock plan activity, Weighted Average Fair Value at Grant Date            
Vested and deferred (in dollars per share) $ 25.63          
Restricted stock plan activity, other disclosures            
Compensation expense $ 1,474 $ 2,024 $ 1,160      
Remaining unrecognized compensation expense $ 1,239          
Weighted average period for recognition 11 months 26 days          
Restricted Stock | 2009 Restricted Stock Plan | Employee            
Restricted stock plan activity, other disclosures            
Repurchase of stock from employees (in shares) 25,386          
Average purchase price (in dollars per share) $ 40.78          
Restricted Stock | 2016 Restricted Stock Plan            
Restricted stock plan activity, number of shares            
Unvested and deferred at beginning of the period (in shares) 7,398          
Granted (in shares) 3,801          
Vested and deferred (in shares) (7,398)          
Unvested and deferred at end of the period (in shares) 3,801 7,398        
Expected to vest (in shares) 20,050          
Restricted stock plan activity, Weighted Average Fair Value at Grant Date            
Unvested and deferred at beginning of the period (in dollars per share) $ 22.64          
Granted (in dollars per share) 44.07          
Vested and deferred (in dollars per share) 22.64          
Unvested and deferred at end of the period (in dollars per share) 44.07 $ 22.64        
Expected to vest (in dollars per share) $ 29.23          
Deferred Restricted Stock plan activity, number of shares            
Vested (in shares) 7,398          
Deferred Restricted Stock plan activity, Weighted Average Fair Value at Grant Date            
Vested and deferred (in dollars per share) $ 22.64          
Restricted stock plan activity, other disclosures            
Compensation expense $ 168 $ 188 271      
Remaining unrecognized compensation expense $ 28          
Weighted average period for recognition 2 months 1 day          
Restricted Stock, Restricted Stock Units and Performance Shares            
Stock-Based Compensation            
Number of shares authorized under the plan           275,000
Restricted Stock, Restricted Stock Units and Performance Shares | 2020 Incentive Compensation Plan            
Stock-Based Compensation            
Number of shares authorized under the plan       575,000 250,000  
Performance Shares            
Stock-Based Compensation            
Award vesting period 3 years          
Performance Shares | Certain Employees            
Restricted stock plan activity, number of shares            
Unvested and deferred at beginning of the period (in shares) 87,193          
Granted (in shares) 21,520          
Forfeited / Canceled (in shares) (8,172)          
Vested and deferred (in shares) (24,121)          
Unvested and deferred at end of the period (in shares) 76,420 87,193        
Restricted stock plan activity, Weighted Average Fair Value at Grant Date            
Unvested and deferred at beginning of the period (in dollars per share) $ 37.24          
Granted (in dollars per share) 61.04          
Forfeited / Canceled (in dollars per share) 42.97          
Vested and deferred (in dollars per share) 43.42          
Unvested and deferred at end of the period (in dollars per share) $ 41.37 $ 37.24        
Deferred Restricted Stock plan activity, number of shares            
Vested (in shares) 24,121          
Deferred Restricted Stock plan activity, Weighted Average Fair Value at Grant Date            
Vested and deferred (in dollars per share) $ 43.42          
Restricted stock plan activity, other disclosures            
Compensation expense $ 1,021 $ 1,082 $ 849      
Remaining unrecognized compensation expense $ 1,242          
Weighted average period for recognition 1 year 6 months 14 days