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Stock-Based Compensation (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Jan. 29, 2021
Jan. 29, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Shares Withheld for Tax Withholding Obligation 102,392 116,195 103,492    
Proceeds from employee stock purchase plan transactions $ 1,500 $ 1,214 $ 1,065    
Total intrinsic value of all options exercised 20,300 6,500 3,700    
Total grant date fair value of shares vested 3,000 2,600 3,700    
Proceeds from Stock Options Exercised 9,505 8,525 5,902    
Stock Options          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Decrease for Tax Withholding Obligation 4,300        
Total unrecognized compensation cost nonvested awards $ 7,100        
Weighted average period, unrecognized compensation cost, nonvested awards 1 year 9 months 18 days        
Restricted Stock Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Decrease for Tax Withholding Obligation $ 2,400 2,100 1,800    
Weighted average period, unrecognized compensation cost, nonvested awards 2 years 1 month 6 days        
Total unrecognized compensation cost, restricted stock units $ 10,700        
Employee Stock          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of continuous days of service 90 days        
Number of hours per week employed 20 hours        
Percent of market value 85.00%        
Proceeds from employee stock purchase plan transactions $ 1,500 $ 1,200 $ 1,100    
Common shares issued to employees 80,225 78,644 117,826    
Shares available for future issuance 552,848        
The 2020 Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares available for future grants 1,793,203        
Number of shares authorized         1,400,000
The 2020 Plan | Stock Options          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Expiration period 7 years        
Vesting period 4 years        
The Purchase Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares authorized         3,425,000
The 2021 Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares authorized       2,400,000  
The 2021 Plan | Stock Options          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Expiration period 7 years        
Vesting period 4 years        
Director | The 2020 Plan | Restricted Stock Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting period 1 year        
Director | The 2021 Plan | Restricted Stock Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Expiration period 1 year        
Vesting period 4 years        
Director | The 2021 Plan | Performance Shares          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting period 3 years        
Executives and Employees | The 2020 Plan | Restricted Stock Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting period 4 years        
Executives and Employees | The 2021 Plan | Restricted Stock Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting period 4 years