Supplementary Financial Information (Unaudited) (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended																12 Months Ended
	Oct. 31, 2015		Aug. 01, 2015		May. 02, 2015		Jan. 31, 2015		Nov. 01, 2014		Aug. 02, 2014		May. 03, 2014		Feb. 01, 2014		Oct. 31, 2015		Nov. 01, 2014		Nov. 02, 2013
Quarterly Financial Information Disclosure [Abstract]
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Inventory									$ 53,600
Supplementary Financial Information
Revenue	$ 978,722		$ 863,365		$ 821,019		$ 771,986		814,247		$ 727,752		$ 694,536		$ 628,238		$ 3,435,092		$ 2,864,773		$ 2,633,689
Cost of sales	336,926		294,328		276,197		268,379		328,210		251,462		235,793		219,120		1,175,830	[1]	1,034,585	[1]	941,278	[1]
Gross margin	$ 641,796		$ 569,037		$ 544,822		$ 503,607		$ 486,037		$ 476,290		$ 458,743		$ 409,118		2,259,262		1,830,188		1,692,411
% of Revenue	65.60%		65.90%		66.40%		65.20%		59.70%		65.40%		66.10%		65.10%
Research and development	$ 170,736		$ 160,784		$ 154,233		$ 151,706		$ 154,797		$ 140,095		$ 136,203		$ 128,591		637,459	[1]	559,686	[1]	513,035	[1]
Selling, marketing, general and administrative	121,400		120,030		117,371		120,171		121,424		132,989		102,085		98,178		478,972	[1]	454,676	[1]	396,233	[1]
Special charges	0		0		0		0		34,637		0		0		2,685		0		37,322		29,848
Other Selling, General and Administrative Expense	223,672		0		0		0		0		0		0		0		223,672		0		0
Amortization of intangible Assets Operating Expenses	17,358		22,954		24,210		23,796		25,250		660		55		55		88,318		26,020		220
Total operating expenses	533,166		303,768		295,814		295,673		336,108		273,744		238,343		229,509		1,428,421		1,077,704		939,336
Operating income from continuing operations	$ 108,630		$ 265,269		$ 249,008		$ 207,934		$ 149,929		$ 202,546		$ 220,400		$ 179,609		830,841		752,484		753,075
% of Revenue	11.00%		31.00%		30.00%		27.00%		18.00%		28.00%		32.00%		29.00%
Nonoperating (income) expenses:
Interest expense	$ 6,739		$ 6,755		$ 6,880		$ 6,656		$ 13,161		$ 8,178		$ 6,874		$ 6,571		27,030		34,784		27,102
Interest income	(2,343)		(2,229)		(2,009)		(2,044)		(2,046)		(3,442)		(3,401)		(3,284)		(8,625)		(12,173)		(12,753)
Other, net	(443)	[2]	1,265	[2]	(1,052)	[2]	2,552	[2]	116	[2]	422	[2]	(441)	[2]	431	[2]	2,322		528		(76,597)
Total nonoperating (income) expense	3,953		5,791		3,819		7,164		11,231		5,158		3,032		3,718		20,727		23,139		(62,248)
Income from continuing operations before income taxes	$ 104,677		$ 259,478		$ 245,189		$ 200,770		$ 138,698		$ 197,388		$ 217,368		$ 175,891		810,114		729,345		815,323
% of Revenue	11.00%		30.00%		30.00%		26.00%		17.00%		27.00%		31.00%		28.00%
Provision for income taxes	$ 8,372	[3]	$ 43,000	[3]	$ 39,851	[3]	$ 22,013	[3]	$ 30,003	[3]	$ 16,782	[3]	$ 29,935	[3]	$ 23,305	[3]	113,236		100,025		141,836
Income from continuing operations, net of tax																	$ 696,878		$ 629,320		$ 673,487
Net income	$ 96,305		$ 216,478		$ 205,338		$ 178,757		$ 108,695		$ 180,606		$ 187,433		$ 152,586
% of Revenue	10.00%		25.00%		25.00%		23.00%		13.00%		25.00%		27.00%		24.00%
Earnings per share - Basic (in dollars per share)
Income from continuing operations																	$ 2.23		$ 2.01		$ 2.19
Net income	$ 0.31		$ 0.69		$ 0.66		$ 0.57		$ 0.35		$ 0.57		$ 0.60		$ 0.49
Earnings per share - Diluted (in dollars per share)
Net income	$ 0.30		$ 0.68		$ 0.65		$ 0.57		$ 0.34		$ 0.57		$ 0.59		$ 0.48
Shares used to compute earnings per share (in thousands):
Shares used to compute earnings per share - Basic (in shares)	312,829		313,877		312,660		311,274		312,815		314,190		313,488		312,286		312,660		313,195		307,763
Shares used to compute earnings per share - Diluted (in shares)	316,571		318,187		317,047		315,684		316,868		318,876		318,347		318,017		316,872		318,027		314,041
Dividends declared per share	$ 0.40		$ 0.40		$ 0.40		$ 0.37		$ 0.37		$ 0.37		$ 0.37		$ 0.34		$ 1.57		$ 1.45		$ 1.32
Unrecorded Potential Tax Liability Related To IRS Examination Open Tax Matter																	$ 36,500
Tax Benefit from Reversal of Certain Prior Period Tax Liabilities	$ 13,000
Tax Benefit from Reinstatement of the U.S. Federal R&D Tax Credit							$ 7,000
Tax Benefit Resulting from Purchase Accounting Adjustment							$ 3,800

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

[2] b) The Company converted the benefits provided to participants in the Company’s Irish defined benefits pension plan to benefits provided under the Company’s Irish defined contribution plan. As a result the Company recorded expenses of $223.7 million, including settlement charges, legal, accounting and other professional fees to settle the pension obligation.

[3] c) Provision for income taxes in the fourth quarter of fiscal 2015 includes a benefit of $13.0 million for the reversal of certain prior period tax liabilities and in the first quarter of fiscal 2015 includes a tax benefit of $7.0 million from the reinstatement of the U.S. federal research and development tax credit in December 2014 retroactive to January 1, 2014 and a tax benefit of $3.8 million as a result of an acquisition accounting adjustment.