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Stock-Based Compensation - Schedule of Information about Stock Options (Details)
6 Months Ended
Mar. 31, 2025
USD ($)
$ / shares
shares
Mar. 31, 2024
shares
Shares    
Beginning balance (in shares) | shares 1,978,516  
Granted (in shares) | shares 0 0
Cancelled or expired (in shares) | shares (30,466)  
Exercised (in shares) | shares (422,333)  
Ending balance (in shares) | shares 1,525,717  
Number of Options Outstanding, Exercisable (in shares) | shares 1,525,717  
Weighted- Average Exercise Price Per Share    
Beginning balance (in dollars per share) | $ / shares $ 23.39  
Granted (in dollars per share) | $ / shares 0  
Cancelled or expired (in dollars per share) | $ / shares 43.12  
Exercised (in dollars per share) | $ / shares 7.67  
Ending balance (in dollars per share) | $ / shares 27.35  
Weighted-Average Exercise Price Per Share, Exercisable (in dollars per share) | $ / shares $ 27.35  
Weighted- Average Remaining Contractual Term (Years) 3 years 8 months 12 days  
Weighted-Average Remaining Contractual Term, Exercisable 3 years 8 months 12 days  
Aggregate Intrinsic Value | $ $ 3,831,887  
Aggregate Intrinsic Value, Exercisable | $ $ 3,831,887