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Equity-Based Compensation - Schedule of Equity-Based Compensation Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Equity-based compensation expense	$ 27,878	$ 26,230	$ 20,860
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Equity-based compensation expense	24,276	25,163	20,860
Restricted stock units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Equity-based compensation expense	$ 3,602	$ 1,067	$ 0

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- Definition

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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