Income Taxes - Income Tax Rate Reconciliation (Details)	12 Months Ended
	Sep. 28, 2025	Sep. 29, 2024	Oct. 01, 2023
Income Tax Disclosure [Abstract]
Tax at federal statutory rate	21.00%	21.00%	21.00%
State taxes, net of federal benefit	2.60%	2.40%	2.20%
Research and Development ("R&D") credits	(1.80%)	(1.20%)	(0.50%)
Tax differential on foreign earnings	2.80%	2.00%	1.50%
Goodwill impairment	3.20%	0.00%	0.00%
Legal settlements	0.018	0	0
Stock compensation	0.20%	(0.40%)	(0.40%)
Valuation allowance	0.40%	(0.10%)	1.30%
Change in uncertain tax positions	0.90%	1.30%	11.60%
Return to provision	(0.80%)	(1.00%)	1.10%
Disallowed officer compensation	1.20%	0.90%	1.20%
Unremitted earnings	0.20%	0.40%	0.20%
Hedging gain	0.00%	0.00%	(5.70%)
Deferred tax adjustments	(0.70%)	0.80%	(2.30%)
Audit settlements	0.00%	0.90%	0.00%
Receivables/payables adjustments	0.017	0	0
Other	1.60%	1.10%	0.60%
Total income tax expense	34.30%	28.10%	31.80%