Equity-Based Compensation - Summary of Company's Performance Stock Unit Activity (Details) - $ / shares	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Granted	0	0	0
Weighted Average Exercise Price, Outstanding at September 30, 2024	$ 19.37
Forfeited, weighted average exercise price	21.64
Weighted Average Exercise Price, Outstanding at September 30, 2025	$ 19.11	$ 19.37
Performance Shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Beginning balance, Outstanding	1,114,000
Granted	281,000
Forfeited	67,000
Ending balance, Outstanding	1,328,000	1,114,000
Vested and granted at September 30, 2025	262,000
Weighted Average Exercise Price, Outstanding at September 30, 2024	$ 7.4
Granted, weighted average exercise price	17.33
Forfeited, weighted average exercise price	9.31
Weighted Average Exercise Price, Outstanding at September 30, 2025	9.4	$ 7.4
Vested and granted weighted average exercise price at September 30, 2025	$ 7.48