Income Taxes - Components of Income Tax Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2022	Oct. 03, 2021	Sep. 27, 2020
Current:
Federal	$ 47,447	$ 41,056	$ 24,102
State	9,613	9,893	6,872
Foreign	26,332	18,887	20,398
Total current income tax expense	83,392	69,836	51,372
Deferred:
Federal	(424)	(6,034)	2,187
State	(382)	(2,060)	870
Foreign	3,016	(27,703)	(328)
Total deferred income tax expense (benefit)	2,210	(35,797)	2,729
Total income tax expense	$ 85,602	$ 34,039	$ 54,101