Income Taxes - Income Tax Rate Reconciliation (Details)	12 Months Ended
	Oct. 03, 2021	Sep. 27, 2020	Sep. 29, 2019
Income Tax Disclosure [Abstract]
Tax at federal statutory rate	21.00%	21.00%	21.00%
State taxes, net of federal benefit	2.30%	2.70%	3.30%
Research and Development ("R&D") credits	(2.60%)	(2.20%)	(4.70%)
Tax differential on foreign earnings	0.90%	0.70%	1.00%
Non-taxable foreign interest income	(1.00%)	(1.10%)	(1.70%)
Goodwill	0.00%	1.50%	0.90%
Stock compensation	(3.30%)	(2.20%)	(2.40%)
Valuation allowance	(9.30%)	1.60%	(13.50%)
Change in uncertain tax positions	1.70%	0.40%	2.40%
Return to provision	(3.70%)	0.80%	(0.20%)
Disallowed officer compensation	2.00%	0.20%	0.20%
Cash repatriation	2.10%	0.00%	0.00%
Unremitted earnings	1.00%	0.00%	0.00%
Revaluation of deferred taxes	0	0	(0.014)
Deferred tax adjustments	0.80%	(1.30%)	(0.40%)
Transition taxes on foreign earnings	0	0	0.014
Other	0.90%	1.60%	3.40%
Total income tax expense	12.80%	23.70%	9.30%