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Stock-Based Compensation - Summarize Information about Stock Options (Details)
6 Months Ended
Mar. 31, 2024
USD ($)
$ / shares
shares
Mar. 31, 2023
shares
Shares    
Beginning balance (in shares) | shares 2,263,477  
Granted (in shares) | shares 0 0
Cancelled (in shares) | shares (30,437)  
Exercised (in shares) | shares (154,347)  
Ending balance (in shares) | shares 2,078,693  
Number of Options Outstanding, Exercisable (in shares) | shares 2,054,866  
Weighted- Average Exercise Price Per Share    
Beginning balance (in dollars per share) | $ / shares $ 22.68  
Granted (in dollars per share) | $ / shares 0  
Cancelled (in dollars per share) | $ / shares 61.11  
Exercised (in dollars per share) | $ / shares 11.53  
Ending balance (in dollars per share) | $ / shares 23.04  
Weighted-Average Exercise Price Per Share, Exercisable (in dollars per share) | $ / shares $ 22.72  
Weighted- Average Remaining Contractual Term (Years) 4 years  
Weighted-Average Remaining Contractual Term, Exercisable 3 years 10 months 24 days  
Aggregate Intrinsic Value | $ $ 26,788,979  
Aggregate Intrinsic Value, Exercisable | $ $ 26,788,746