Stock-Based Compensation - Summarized Information about Stock Options (Details) - USD ($)	12 Months Ended
Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Shares
Beginning balance (in shares)	1,978,516
Granted (in shares)	0	0	0
Cancelled or expired (in shares)	(36,341)
Exercised (in shares)	(535,140)
Ending balance (in shares)	1,407,035	1,978,516
Number of Options Outstanding, Exercisable (in shares)	1,407,035
Weighted- Average Exercise Price Per Share
Beginning balance (in dollars per share)	$ 23.39
Granted (in dollars per share)	0
Cancelled or expired (in dollars per share)	45.44
Exercised (in dollars per share)	7.41
Ending balance (in dollars per share)	28.90	$ 23.39
Weighted-Average Exercise Price Per Share, Exercisable (in dollars per share)	$ 28.90
Weighted- Average Remaining Contractual Term (Years)	3 years 4 months 24 days
Weighted-Average Remaining Contractual Term, Exercisable	3 years 4 months 24 days
Aggregate Intrinsic Value	$ 19,099,141
Aggregate Intrinsic Value, Exercisable	$ 19,099,141

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.