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Goodwill and Intangible Assets, Net - Details of Total Goodwill (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]    
Goodwill, Beginning Balance $ 2,462,835 $ 2,444,895
Goodwill resulting from acquisitions 118,628 17,484
Other (2,818) 456
Goodwill, Ending Balance $ 2,578,645 $ 2,462,835