Equity-based Compensation - Summary of Option Activity (Parenthetical) (Detail)	12 Months Ended
Sep. 30, 2024
Share-Based Payment Arrangement [Abstract]
Weighted average remaining contractual life of outstanding options	4 years 29 days
Weighted average remaining contractual life of exercisable options	4 years 25 days

Weighted average remaining contractual term for vested portions of options outstanding and currently exercisable or convertible, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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Period Type:	duration