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Property and Equipment, Net - Additional Information (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Property and Equipment [Abstract]      
Depreciation expense $ 125,014 $ 117,632 $ 111,387
Software assets developed for internal use costs, net of accumulated depreciation $ 165,529 $ 179,837