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Property and Equipment, Net - Additional Information (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Property and Equipment [Abstract]      
Depreciation expense $ 127,447 $ 125,014 $ 117,632
Software assets developed for internal use costs, net of accumulated depreciation $ 154,731 $ 165,529