Income Taxes - Income Tax Provision Reconciliation (Details) - USD ($) $ in Thousands	3 Months Ended																12 Months Ended
	Oct. 28, 2017	[1]	Jul. 29, 2017	[1]	Apr. 29, 2017	[1]	Jan. 28, 2017	[1]	Oct. 29, 2016	[1]	Jul. 30, 2016	[1]	Apr. 30, 2016	[1]	Jan. 30, 2016	[1]	Oct. 28, 2017	Oct. 29, 2016	Oct. 31, 2015
Income Tax Disclosure [Abstract]
U.S. federal statutory tax rate																	35.00%	35.00%	35.00%
Income tax provision reconciliation:
Tax at statutory rate:																	$ 289,970	$ 334,922	$ 283,540
Net foreign income subject to lower tax rate																	(385,189)	(264,157)	(198,061)
State income taxes, net of federal benefit																	(8,801)	(10,821)	(4,425)
Valuation allowance																	(7,778)	13,658	4,875
Federal research and development tax credits																	(16,475)	(16,237)	(8,232)
Change in uncertain tax positions																	(51,088)	4,797	2,449
Amortization of purchased intangibles																	159,466	35,641	38,973
Acquisitions																	109,040	0	0
Other, net																	12,081	(2,546)	(5,883)
Provision for income taxes	$ 34,014		$ 57,882		$ (6,850)		$ 16,180		$ 27,277		$ 25,970		$ 24,337		$ 17,673		$ 101,226	$ 95,257	$ 113,236

[1] b) Provision for income taxes in the second quarter of fiscal 2017 included a tax benefit of $15.0 million for the release of a state tax credit valuation allowance as a result of the Acquisition. Provision for income taxes in the third quarter of fiscal 2017 included approximately $98.2 million of tax expense incurred during the quarter as part of the post-Acquisition integration, partially offset by a tax benefit of $50.5 million related to the reduction of reserves and related interest resulting from the U.S. Tax Court’s favorable ruling, as well as lower statutory tax rates applicable to our operations in the foreign jurisdictions in which we earn income.