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Property and Equipment Net - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Property Plant And Equipment [Abstract]      
Net Book Value of Capitalized Internal-Use Software $ 21.2 $ 5.3  
Depreciation expense 9.4 9.5 $ 9.2
Amortization expense $ 3.7 $ 3.4 $ 3.1