Stock-Based Compensation - Summarize Information about Stock Options (Details) - USD ($)	12 Months Ended
Sep. 30, 2024	Sep. 30, 2022
Shares
Beginning balance (in shares)	2,263,477
Granted (in shares)	0	0
Cancelled or expired (in shares)	(58,957)
Exercised (in shares)	(226,004)
Ending balance (in shares)	1,978,516
Number of Options Outstanding, Exercisable (in shares)	1,975,824
Weighted- Average Exercise Price Per Share
Beginning balance (in dollars per share)	$ 22.68
Granted (in dollars per share)	0
Cancelled or expired (in dollars per share)	36.80
Exercised (in dollars per share)	10.64
Ending balance (in dollars per share)	23.39
Weighted-Average Exercise Price Per Share, Exercisable (in dollars per share)	$ 23.33
Weighted- Average Remaining Contractual Term (Years)	3 years 6 months
Weighted-Average Remaining Contractual Term, Exercisable	3 years 6 months
Aggregate Intrinsic Value	$ 13,782,840
Aggregate Intrinsic Value, Exercisable	$ 13,782,840

The number of shares into which fully or partially vested stock options outstanding as of the balance sheet date can be currently converted under the option plan.

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- Definition

The weighted-average price as of the balance sheet date at which grantees can acquire the shares reserved for issuance on vested portions of options outstanding and currently exercisable under the stock option plan.