Supplementary Financial Information (Unaudited) (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands		3 Months Ended																12 Months Ended
		Nov. 03, 2018		Aug. 04, 2018		May 05, 2018		Feb. 03, 2018		Oct. 28, 2017		Jul. 29, 2017		Apr. 29, 2017		Jan. 28, 2017		Nov. 03, 2018		Oct. 28, 2017		Oct. 29, 2016
Supplementary Financial Information
Revenue		$ 1,596,586		$ 1,572,679		$ 1,513,053		$ 1,518,624		$ 1,541,170		$ 1,433,902		$ 1,147,982		$ 984,449		$ 6,200,942		$ 5,107,503		$ 3,421,409
Cost of sales		502,932		502,033		479,241		483,434		535,145		667,278		507,539		335,945		1,967,640	[1]	2,045,907	[1]	1,194,236	[1]
Gross margin		$ 1,093,654		$ 1,070,646		$ 1,033,812		$ 1,035,190		$ 1,006,025		$ 766,624		$ 640,443		$ 648,504		4,233,302		3,061,596		2,227,173
% of Revenue		68.50%		68.10%		68.30%		68.20%		65.30%		53.50%		55.80%		65.90%
Research and development		$ 295,699		$ 291,642		$ 289,472		$ 288,597		$ 273,746		$ 275,670		$ 235,232		$ 183,954		1,165,410	[1]	968,602	[1]	653,816	[1]
Selling, marketing, general and administrative		175,396		171,487		172,146		176,908		185,721		183,980		190,686		130,659		695,937	[1]	691,046	[1]	461,438	[1]
Special charges		1,842	[2]	1,069	[2]	1,089	[2]	57,318	[2]	0	[2]	0	[2]	0	[2]	49,463	[2]	61,318		49,463		13,684
Amortization of intangibles		107,345		107,409		107,129		107,019		98,348		112,153		68,690		18,160		428,902		297,351		70,123
Total operating expenses		580,282		571,607		569,836		629,842		557,815		571,803		494,608		382,236		2,351,567		2,006,462		1,199,061
Operating income		$ 513,372		$ 499,039		$ 463,976		$ 405,348		$ 448,210		$ 194,821		$ 145,835		$ 266,268		1,881,735		1,055,134		1,028,112
% of Revenue		32.00%		32.00%		31.00%		27.00%		29.00%		14.00%		13.00%		27.00%
Nonoperating (income) expenses:
Interest expense		$ 59,102	[3]	$ 61,665	[3]	$ 64,792	[3]	$ 68,030	[3]	$ 63,517	[3]	$ 73,073	[3]	$ 71,636	[3]	$ 42,614	[3]	253,589		250,840		88,757
Interest income		(2,791)		(2,588)		(1,912)		(2,092)		(2,388)		(5,524)		(12,421)		(10,000)		(9,383)		(30,333)		(21,221)
Other, net		(461)		(632)		(451)		556		5,417		474		(94)		345		(988)		6,142		3,655
Total nonoperating (income) expense		55,850		58,445		62,429		66,494		66,546		68,023		59,121		32,959		243,218		226,649		71,191
Income before income taxes		$ 457,522		$ 440,594		$ 401,547		$ 338,854		$ 381,664		$ 126,798		$ 86,714		$ 233,309		1,638,517		828,485		956,921
% of Revenue		29.00%		28.00%		27.00%		22.00%		25.00%		9.00%		8.00%		24.00%
Provision (benefit) for income taxes		$ 24,557	[4]	$ 26,130	[4]	$ 21,716	[4]	$ 70,682	[4]	$ 34,014	[4]	$ 57,882	[4]	$ (6,850)	[4]	$ 16,180	[4]	$ 143,085		$ 101,226		$ 95,257
Net income		$ 432,965		$ 414,464		$ 379,831		$ 268,172		$ 347,650		$ 68,916		$ 93,564		$ 217,129
% of Revenue		27.00%		26.00%		25.00%		18.00%		23.00%		5.00%		8.00%		22.00%
Net income allocable to common shares (in shares)	[5]	431,621		412,938		378,299		266,929		345,876		67,935		93,564		217,129
Earnings per share - Basic (in dollars per share)
Basic earnings per common share (USD per share)		$ 1.16		$ 1.11		$ 1.02		$ 0.72		$ 0.94		$ 0.18		$ 0.27		$ 0.70
Earnings per share - Diluted (in dollars per share)
Diluted earnings per common share (USD per share)		$ 1.15		$ 1.10		$ 1.01		$ 0.71		$ 0.93		$ 0.18		$ 0.27		$ 0.69
Shares used to compute earnings per share (in thousands):
Shares used to compute earnings per share - Basic (in shares)		371,074		371,315		370,384		369,093		368,043		367,315		341,316		308,786		370,430		346,371		308,736
Shares used to compute earnings per share - Diluted (in shares)		375,116		375,815		374,778		374,189		372,053		371,159		345,654		313,076		374,938		350,484		312,308
Dividends declared per share (USD per share)		$ 0.48		$ 0.48		$ 0.48		$ 0.45		$ 0.45		$ 0.45		$ 0.45		$ 0.42		$ 1.89		$ 1.77		$ 1.66
Tax benefit from release of state tax credit valuation allowance														$ 15,000
Tax expense related to post-acquisition integration												$ 98,200								$ 98,200
Tax benefit related to reduction of reserves and interest												$ 50,500

[1] Includes stock-based compensation expense as follows:

[2] Represents charges recorded for various restructuring actions. See Note 5, Special Charges, of the Notes to the Consolidated Financial Statements contained in Item 8 of this Annual Report on Form 10-K.

[3] Interest expense in fiscal 2017 and 2018 includes interest and fees associated with financing commitments entered into in connection with the Acquisition. See Note 14, Debt, of the Notes to the Consolidated Financial Statements contained in Item 8 of this Annual Report on Form 10-K.

[4] Provision for income taxes in the first quarter of fiscal 2018 included the impact related to the Tax Cuts and Jobs Act of 2017, enacted on December 22, 2017. Provision for income taxes in the fourth quarter of fiscal 2018 included a release of reserves relating to certain international transfer pricing matters. 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 the Company earns income. See Note 12, Income Taxes, of the Notes to the Consolidated Financial Statements contained in Item 8 of this Annual Report on Form 10-K.

[5] Under the two-class method, earnings per share is calculated using net earnings allocable to common shares, which is derived by reducing net income by the income allocable to participating securities.