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Goodwill and Intangible Assets, Net - Additional Information (Detail)
$ in Thousands
12 Months Ended
Sep. 30, 2021
USD ($)
Segment
Sep. 30, 2020
USD ($)
Segment
Sep. 30, 2019
USD ($)
Segment
Goodwill and Intangible Assets Disclosure [Abstract]      
Impairment of goodwill $ 0 $ 0 $ 0
Number of operating segment | Segment 1 1 1
Amortization of definite-lived purchased intangible assets $ 83,816 $ 80,777 $ 94,385