Equity-Based Compensation - Summary of Company's Restricted Stock Award Activity (Details)	6 Months Ended
	Mar. 31, 2024 $ / shares shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Weighted Average Exercise Price, Outstanding at September 30, 2023	$ 19.06
Forfeited, weighted average exercise price	19.29
Weighted Average Exercise Price, Outstanding at March 31, 2024	$ 19.03
Restricted Stock Awards
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Beginning balance, Outstanding | shares | shares	213,000
Forfeited | shares | shares	75,000
Ending balance, Outstanding | shares | shares	138,000
Weighted Average Exercise Price, Outstanding at September 30, 2023	$ 14.66
Forfeited, weighted average exercise price	14.66
Weighted Average Exercise Price, Outstanding at March 31, 2024	$ 14.66