Income Taxes - Income Tax Provision Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 30, 2021	Oct. 31, 2020	Nov. 02, 2019
Income Tax Disclosure [Abstract]
U.S. federal statutory tax rate	21.00%	21.00%	21.00%
Income tax provision reconciliation:
Tax at statutory rate	$ 279,030	$ 275,439	$ 312,003
Net foreign income subject to lower tax rate	(227,470)	(225,937)	(242,893)
State income taxes, net of federal benefit	(28,052)	(23,537)	(31,265)
Valuation allowance	13,263	13,655	34,069
Federal research and development tax credits	(37,902)	(31,055)	(50,769)
Change in uncertain tax positions	(1,061)	(13,304)	7,233
Amortization of purchased intangibles	146,094	101,906	111,547
Acquisition and integration costs	11,367	1,714	0
Taxes attributable to the Tax Cuts and Jobs Act of 2017	0	0	(7,500)
U.S. effects of international operations	(24,624)	11,903	19,782
Windfalls (under ASU 2016-09)	(26,365)	(16,240)	(28,677)
Intra-entity transfer of intangible assets	(188,804)	0	0
Other, net	22,816	(3,688)	(813)
Total income tax (benefit) provision	$ (61,708)	$ 90,856	$ 122,717