Income Taxes - Summary of Income Before Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Income Tax Disclosure [Abstract]
Domestic	$ 97,460	$ 41,199	$ (73,865)
Foreign	299,638	350,556	208,571
Income before income taxes	$ 397,098	$ 391,755	$ 134,706

Amount of income (loss) from continuing operations, including income (loss) from equity method investments, before deduction of income tax expense (benefit), and income (loss) attributable to noncontrolling interest.

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