Income Taxes - Income Tax Provision Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 28, 2023	Oct. 29, 2022	Oct. 30, 2021
Income Tax Disclosure [Abstract]
U.S. federal statutory tax rate	21.00%	21.00%	21.00%
Income tax provision reconciliation:
Tax at statutory rate	$ 757,681	$ 650,737	$ 279,030
Net foreign income subject to lower tax rate	(358,944)	(358,725)	(227,470)
State income taxes, net of federal benefit	4,453	(15,615)	(28,052)
Valuation allowance	(6,641)	29,737	13,263
Federal research and development tax credits	(65,391)	(58,625)	(37,902)
Change in uncertain tax positions	17,985	19,394	(1,061)
Amortization of purchased intangibles	142,358	142,375	146,094
Acquisition and integration costs	0	0	11,367
Taxes attributable to the Tax Cuts and Jobs Act of 2017	(81,695)	0	0
U.S. effects of international operations	(98,286)	(47,665)	(24,624)
Windfalls (under ASU 2016-09)	(24,211)	(16,717)	(26,365)
Intra-entity transfer of intangible assets	0	0	(188,804)
Other, net	6,115	5,292	22,816
Total income tax provision (benefit)	$ 293,424	$ 350,188	$ (61,708)