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Goodwill and Intangible Assets, Net - Additional Information (Detail)
$ in Thousands
12 Months Ended
Sep. 30, 2023
USD ($)
Segment
Sep. 30, 2022
USD ($)
Segment
Sep. 30, 2021
USD ($)
Segment
Indefinite-Lived Intangible Assets [Line Items]      
Impairment of goodwill $ 0 $ 0 $ 0
Number of operating segment | Segment 1 1 1
Amortization of purchased intangible assets and other $ 57,156 $ 71,075 $ 78,784
Intangible Assets [Member]      
Indefinite-Lived Intangible Assets [Line Items]      
Amortization of purchased intangible assets and other $ 67,677 $ 97,088 $ 83,816