Income Taxes - Schedule of Income Tax Expense (Benefit) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Oct. 01, 2022	Oct. 02, 2021
Current:
Federal	$ 24,779	$ 12,506	$ 9,217
State	302	386	524
Foreign	19,276	17,968	15,146
Current Total	44,357	30,860	24,887
Deferred:
Federal	(21,098)	(9,931)	(1,153)
State	(1,371)	(315)	1
Foreign	31	(554)	(2,236)
Deferred Total	(22,438)	(10,800)	(3,388)
Income Tax Expense (Benefit)	$ 21,919	$ 20,060	$ 21,499