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Stock-Based Compensation (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
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 106,012 102,392 116,195    
Proceeds from employee stock purchase plan transactions $ 2,263 $ 1,500 $ 1,214    
Total intrinsic value of all options exercised 5,200 20,300 6,500    
Total grant date fair value of shares vested 4,500 3,000 2,600    
Proceeds from Stock Options Exercised 3,926 9,505 8,525    
Stock Options          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Decrease for Tax Withholding Obligation 200 4,300      
Total unrecognized compensation cost nonvested awards $ 4,900        
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 $ 4,100 2,400 2,100    
Weighted average period, unrecognized compensation cost, nonvested awards 2 years 1 month 6 days        
Total unrecognized compensation cost, restricted stock units $ 19,300        
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 $ 2,300 $ 1,500 $ 1,200    
Common shares issued to employees 82,621 80,225 78,644    
Shares available for future issuance 470,227        
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 available for future grants 2,365,365        
Number of shares authorized       3,500,000  
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 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 2021 Plan | Restricted Stock Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting period 4 years