Income Taxes - Income Tax Rate Reconciliation (Details)	12 Months Ended
	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
Income Tax Disclosure [Abstract]
Tax at federal statutory rate	21.00%	21.00%	21.00%
State taxes, net of federal benefit	2.40%	2.20%	2.10%
Research and Development ("R&D") credits	(1.20%)	(0.50%)	(1.00%)
Tax differential on foreign earnings	2.00%	1.50%	1.00%
Stock compensation	(0.40%)	(0.40%)	(2.00%)
Valuation allowance	(0.10%)	1.30%	0.20%
Change in uncertain tax positions	1.30%	11.60%	(1.10%)
Return to provision	(1.00%)	1.10%	1.40%
Disallowed officer compensation	0.90%	1.20%	1.90%
Unremitted earnings	0.40%	0.20%	(0.20%)
Hedging gain	0.00%	(5.70%)	0.00%
Deferred tax adjustments	0.80%	(2.30%)	0.10%
Audit settlements	0.90%	0.00%	0.00%
Other	1.10%	0.60%	1.10%
Total income tax expense	28.10%	31.80%	24.50%