Equity-Based Compensation - Fair Value of Underlying Common Stock and Exercise Price of Stock Options (Details) - $ / shares	Sep. 30, 2022	Sep. 30, 2021
Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Fair value of underlying common stock (dollars per share)	$ 3.46	$ 34.50
Exercise price of common stock option (dollars per share)	3.46	34.50
Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Fair value of underlying common stock (dollars per share)	5.51	77.10
Exercise price of common stock option (dollars per share)	5.51	77.10
Weighted Average
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Fair value of underlying common stock (dollars per share)	4.56	56.10
Exercise price of common stock option (dollars per share)	$ 4.56	$ 56.10