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Equity-Based Compensation - Summary of Company's Performance Stock Unit Activity (Details)
9 Months Ended
Jun. 30, 2025
$ / shares
shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 19.37
Forfeited, weighted average exercise price 21.7
Weighted Average Exercise Price, Outstanding at June 30, 2025 $ 19.13
Performance Shares  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Beginning balance, Outstanding | shares 1,114,000
Granted | shares 281,000
Forfeited | shares 68,000
Ending balance, Outstanding | shares 1,327,000
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 7.4
Granted, weighted average exercise price 17.33
Forfeited, weighted average exercise price 9.28
Weighted Average Exercise Price, Outstanding at June 30, 2025 $ 9.41