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Stock-based Compensation - Narrative (Details)
$ / shares in Units, $ in Thousands
12 Months Ended
Feb. 09, 2022
member
shares
Sep. 30, 2024
USD ($)
$ / shares
shares
Sep. 30, 2023
USD ($)
shares
Sep. 30, 2022
USD ($)
shares
Feb. 07, 2022
shares
Share-Based Payment Arrangement [Abstract]          
Number of shares authorized for issuance (in shares) | shares         300,000
Additional shares authorized for issuance (in shares) | shares 50,000        
Number of members of management receiving approved grant of stock | member 6        
Stock-based compensation | $   $ 1,882 $ 2,588 $ 2,353  
Stock-based compensation tax benefit | $   444 $ 616 $ 569  
Unrecognized stock based compensation expense, stock options | $   $ 2,600      
Compensation cost not yet recognized, period for recognition   1 year 4 months 24 days      
Vesting period 4 years        
Vesting percentage 20.00%        
Expiration period 5 years        
Weighted average grant date fair value (in usd per share) | $ / shares   $ 31.37      
Exercises in period | shares   0 0 0