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Income Taxes - Schedule Of Effective Tax Rate Differs From The U.S. Federal Statutory Rate (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Income Tax Disclosure [Abstract]
Income tax provision at statutory rate	$ 146,048	$ 102,058	$ 80,933
State taxes, net of federal benefit	10,548	6,806	6,012
Effective Income Tax Rate Reconciliation, FDII, Amount	(28,036)	(30,086)	(19,886)
Tax impact of foreign earnings	7,359	9,856	(1,549)
Research and development and other credits	(14,748)	(17,654)	(19,763)
Stock-based and other compensation	8,145	20,145	15,070
Other	(629)	(85)	2,416
Income taxes (benefit)	$ 128,687	$ 91,040	$ 63,233

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Amount of reported income tax benefit from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to foreign-derived intangible income (FDII).

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