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Intangible Assets, Net - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]    
Amortization expense $ 6.6 $ 4.6
Capitalized internal-use software    
Finite-Lived Intangible Assets [Line Items]    
Amortization expense $ 0.8 $ 0.0