Income Taxes - Income Tax Rate Reconciliation (Details)	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Income Tax Disclosure [Abstract]
Tax at federal statutory rate	21.00%	21.00%	21.00%
State taxes, net of federal benefit	2.20%	2.10%	2.30%
Research and Development ("R&D") credits	(0.50%)	(1.00%)	(2.60%)
Tax differential on foreign earnings	1.50%	1.00%	0.90%
Non-taxable foreign interest income	0.00%	0.00%	(1.00%)
Stock compensation	(0.40%)	(2.00%)	(3.30%)
Valuation allowance	0.00%	0.20%	(9.30%)
Change in uncertain tax positions	11.60%	(1.10%)	1.70%
Return to provision	1.10%	1.40%	(3.70%)
Disallowed officer compensation	1.20%	1.90%	2.00%
Cash repatriation	0.00%	0.10%	2.10%
Unremitted earnings	0.20%	(0.20%)	1.00%
Hedging gain	(5.70%)	0.00%	0.00%
Global intangible low-taxed income	0.50%	0.00%	0.00%
Deferred tax adjustments	(1.00%)	0.10%	0.80%
Other	0.10%	1.00%	0.90%
Total income tax expense	31.80%	24.50%	12.80%