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Stock-Based Compensation (Details) - USD ($)
$ in Thousands
6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Jan. 29, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Proceeds from Stock Options Exercised $ 1,672 $ 5,598  
Share-based Payment Arrangement, Shares Withheld for Tax Withholding Obligation 90,985 630,181  
Tax withholding for share-based compensation $ 3,700 $ 6,400  
Total intrinsic value of all options exercised 2,600 13,900  
Proceeds from employee stock purchase plan transactions 1,170 670  
Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Proceeds from Stock Options Exercised 1,700 $ 5,600  
Total unrecognized compensation cost nonvested awards $ 6,500    
Weighted average period, unrecognized compensation cost, nonvested awards 1 year 10 months 24 days    
Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total unrecognized compensation cost nonvested restricted stock units $ 27,900    
Weighted average period, unrecognized compensation cost, nonvested awards 2 years 3 months 18 days    
The Purchase Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares authorized     3,425,000
Share-based Compensation Arrangement by Share-based Payment Award, Number of Continuous Days of Service 90 days    
Share-based Compensation Arrangement by Share-based Payment Award, Number of Hours Per Week Employed 20 hours    
Share-based Compensation Arrangement by Share-based Payment Award, Purchase Price of Common Stock, Percent 85.00%    
Common shares issued to employees 39,979 36,987  
Shares available for future issuance 512,869    
Proceeds from employee stock purchase plan transactions $ 1,200 $ 700  
The 2021 Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares available for future grants 2,340,956