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Property and Equipment, Net - Additional Information (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Property and Equipment [Abstract]      
Depreciation expense $ 128,799 $ 128,800 $ 128,024
Software assets developed for internal use costs, net of accumulated depreciation $ 163,756 $ 129,978