Income Taxes (Components of Income Tax Expense (Benefit)) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Current:
Federal	$ 46,102	$ 41,195	$ 21,869
State	4,841	2,641	2,310
Foreign	74,663	39,719	27,577
Deferred:
Federal	(18,888)	(38,136)	(13,216)
State	(7,341)	(10,006)	(8,623)
Foreign	(18,377)	7,987	(1,717)
Income tax expense	$ 81,000	$ 43,400	$ 28,200