Equity-Based Compensation - Summary of Stock Options Activity Additional Information (Details) $ in Thousands  | 
12 Months Ended | 
|---|---|
| 
 Sep. 30, 2023  
USD ($) 
 | |
| Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] | |
| Unamortized value of unvested Stock Options | $ 22,600 | 
| Weighted average period (years) that expense is expected to be recognized | 2 years 4 months 24 days | 
| Employee Stock Option | |
| Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] | |
| Aggregate intrinsic value of Stock Options outstanding | $ 0 | 
| Unamortized value of unvested Stock Options | $ 4,072 | 
| Weighted average period (years) that expense is expected to be recognized | 1 year 1 month 6 days | 
| Weighted average remaining contractual life (years) for options outstanding | 7 years 6 months | 
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- Definition Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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- Definition Amount of cost to be recognized for option under share-based payment arrangement. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef 
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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- Definition Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding. Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef 
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- Definition Weighted average remaining contractual term for option awards outstanding, 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 
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- Details 
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