Equity-Based Compensation - Summary of Company's Restricted Stock Award Activity (Details)	12 Months Ended
	Sep. 30, 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
Exercised, Weighted Average Exercise Price	13.84
Forfeited, weighted average exercise price	19
Weighted Average Exercise Price, Outstanding at September 30, 2024	$ 19.37
Restricted Stock Awards
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Beginning balance, Outstanding | shares | shares	213,000
Forfeited | shares | shares	106,000
Ending balance, Outstanding | shares | shares	107,000
Weighted Average Exercise Price, Outstanding at September 30, 2023	$ 14.66
Forfeited, weighted average exercise price	14.66
Weighted Average Exercise Price, Outstanding at September 30, 2024	$ 14.66