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Property and Equipment, Net - Additional Information (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Property and Equipment [Abstract]      
Depreciation expense $ 111,387 $ 105,439 $ 105,027
Software assets developed for internal use costs, net of accumulated depreciation $ 171,331 $ 152,366