Income Taxes - Components of Income Tax Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2021	Sep. 27, 2020	Sep. 29, 2019
Current:
Federal	$ 41,056	$ 24,102	$ 30,051
State	9,893	6,872	8,923
Foreign	18,887	20,398	15,016
Total current income tax expense	69,836	51,372	53,990
Deferred:
Federal	(6,034)	2,187	(9,108)
State	(2,060)	870	(1,195)
Foreign	(27,703)	(328)	(27,312)
Total deferred income tax (benefit) expense	(35,797)	2,729	(37,615)
Total income tax expense	$ 34,039	$ 54,101	$ 16,375