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Property and Equipment, Net - Additional Information (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Property and Equipment [Abstract]      
Depreciation expense $ 128,024 $ 127,447 $ 125,014
Software assets developed for internal use costs, net of accumulated depreciation $ 143,330 $ 154,731