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Equity-Based Compensation - Summary of Company's Stock Options Activity (Details)
3 Months Ended
Dec. 31, 2024
$ / shares
shares
Share-Based Payment Arrangement [Abstract]  
Outstanding at September 30, 2024 | shares 3,036,000
Exercised | shares 71,000
Forfeited | shares 259,000
Outstanding at December 31, 2024 | shares 2,706,000
Stock option vested and exercisable upon issuance | shares 2,321,000
Expected to vest after December 31, 2024 | shares 385,000
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding [Roll Forward]  
Weighted Average Exercise Price, Outstanding at September 30, 2024 | $ / shares $ 19.37
Exercised, weighted average exercise price | $ / shares 14.16
Forfeited, weighted average exercise price | $ / shares 22.24
Weighted Average Exercise Price, Outstanding at December 31, 2024 | $ / shares 19.23
Weighted Average Exercise Price, Vested and Exercisable at December 31, 2024 | $ / shares 18.99
Weighted Average Exercise Price, Expected to vest after December 31, 2024 | $ / shares $ 20.65