Supplementary Financial Information (Unaudited) (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended																12 Months Ended
	Oct. 28, 2017		Jul. 29, 2017		Apr. 29, 2017		Jan. 28, 2017		Oct. 29, 2016		Jul. 30, 2016		Apr. 30, 2016		Jan. 30, 2016		Oct. 28, 2017		Oct. 29, 2016		Oct. 31, 2015
Supplementary Financial Information
Revenue	$ 1,541,170		$ 1,433,902		$ 1,147,982		$ 984,449		$ 1,003,623		$ 869,591		$ 778,766		$ 769,429		$ 5,107,503		$ 3,421,409		$ 3,435,092
Cost of sales	535,145		667,278		507,539		335,945		336,936		297,301		267,863		292,136		2,045,907	[1]	1,194,236	[1]	1,175,830	[1]
Gross margin	$ 1,006,025		$ 766,624		$ 640,443		$ 648,504		$ 666,687		$ 572,290		$ 510,903		$ 477,293		3,061,596		2,227,173		2,259,262
% of Revenue	65.30%		53.50%		55.80%		65.90%		66.40%		65.80%		65.60%		62.00%
Research and development	$ 273,746		$ 275,670		$ 235,232		$ 183,954		$ 172,926		$ 163,227		$ 160,235		$ 157,428		968,602	[1]	653,816	[1]	637,459	[1]
Selling, marketing, general and administrative	185,721		183,980		190,686		130,659		118,881		122,909		112,186		107,462		691,046	[1]	461,438	[1]	478,972	[1]
Special charges	0		0		0		49,463		0		0		13,684		0		49,463		13,684		0
Other operating expense	0		0		0		0		0		0		0		0		0		0		223,672
Amortization of intangibles	98,348		112,153		68,690		18,160		17,899		17,447		17,419		17,358		297,351		70,123		88,318
Total operating expenses	557,815		571,803		494,608		382,236		309,706		303,583		303,524		282,248		2,006,462		1,199,061		1,428,421
Operating income	$ 448,210		$ 194,821		$ 145,835		$ 266,268		$ 356,981		$ 268,707		$ 207,379		$ 195,045		1,055,134		1,028,112		830,841
% of Revenue	29.00%		14.00%		13.00%		27.00%		36.00%		31.00%		27.00%		25.00%
Nonoperating (income) expenses:
Interest expense	$ 63,517	[2]	$ 73,073	[2]	$ 71,636	[2]	$ 42,614	[2]	$ 38,764	[2]	$ 18,476	[2]	$ 18,455	[2]	$ 13,062	[2]	250,840		88,757		27,030
Interest income	(2,388)		(5,524)		(12,421)		(10,000)		(7,114)		(5,665)		(5,243)		(3,199)		(30,333)		(21,221)		(8,625)
Other, net	5,417		474		(94)		345		1,897		(504)		(743)		3,005		6,142		3,655		2,322
Total nonoperating (income) expense	66,546		68,023		59,121		32,959		33,547		12,307		12,469		12,868		226,649		71,191		20,727
Income before income taxes	$ 381,664		$ 126,798		$ 86,714		$ 233,309		$ 323,434		$ 256,400		$ 194,910		$ 182,177		828,485		956,921		810,114
% of Revenue	25.00%		9.00%		8.00%		24.00%		32.00%		29.00%		25.00%		24.00%
Provision for income taxes (b)	$ 34,014	[3]	$ 57,882	[3]	$ (6,850)	[3]	$ 16,180	[3]	$ 27,277	[3]	$ 25,970	[3]	$ 24,337	[3]	$ 17,673	[3]	$ 101,226		$ 95,257		$ 113,236
Net income	$ 347,650		$ 68,916		$ 93,564		$ 217,129		$ 296,157		$ 230,430		$ 170,573		$ 164,504
% of Revenue	23.00%		5.00%		8.00%		22.00%		30.00%		26.00%		22.00%		21.00%
Earnings per share - Basic (in dollars per share)
Basic earnings per common share (USD per share)	$ 0.94		$ 0.18		$ 0.27		$ 0.70		$ 0.96		$ 0.75		$ 0.55		$ 0.53
Earnings per share - Diluted (in dollars per share)
Diluted earnings per common share (USD per share)	$ 0.93		$ 0.18		$ 0.27		$ 0.69		$ 0.95		$ 0.74		$ 0.55		$ 0.52
Shares used to compute earnings per share (in thousands):
Shares used to compute earnings per share - Basic (in shares)	368,043		367,315		341,316		308,786		307,854		307,135		308,790		311,166		346,371		308,736		312,660
Shares used to compute earnings per share - Diluted (in shares)	372,053		371,159		345,654		313,076		311,633		310,558		312,250		314,793		350,484		312,308		316,872
Dividends declared per share (USD per share)	$ 0.45		$ 0.45		$ 0.45		$ 0.42		$ 0.42		$ 0.42		$ 0.42		$ 0.40		$ 1.77		$ 1.66		$ 1.57
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] a) Interest expense in fiscal 2017 and the fourth quarter of fiscal 2016 includes interest and fees associated with financing commitments entered into in connection with the Acquisition.

[3] 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.