Income Taxes - Income Tax Provision Reconciliation (Details) - USD ($) $ in Thousands	3 Months Ended																12 Months Ended
	Oct. 29, 2016	[1]	Jul. 30, 2016	[1]	Apr. 30, 2016	[1]	Jan. 30, 2016	[1]	Oct. 31, 2015	[1]	Aug. 01, 2015	[1]	May 02, 2015	[1]	Jan. 31, 2015	[1]	Oct. 29, 2016	Oct. 31, 2015	Nov. 01, 2014
Income Tax Expense Benefit [Line Items]
U.S. federal statutory tax rate																	35.00%	35.00%	35.00%
Income tax provision reconciliation:
Tax at statutory rate:																	$ 334,922	$ 283,540	$ 255,271
State income taxes, net of federal benefit																	(10,821)	(4,425)	(6,361)
Valuation allowance																	(13,658)	(4,875)	(2,846)
Research and development tax credits																	(16,237)	(8,232)	(1,165)
Change in uncertain tax positions																	4,797	2,449	719
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Amortization, Amount																	35,641	38,973	8,126
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount																	0	0	15,656
Other, net																	(2,546)	(5,883)	4,262
Income Tax Expense (Benefit)	$ 27,277		$ 25,970		$ 24,337		$ 17,673		$ 8,372		$ 43,000		$ 39,851		$ 22,013		95,257	113,236	100,025
Irish [Member]
Income tax provision reconciliation:
Net foreign tax in excess of U.S. federal statutory tax rate																	$ 264,157	$ 198,061	$ 179,329

[1] ) Interest expense in the fourth quarter of fiscal 2016 includes $13.7 million related to accelerated amortization of fees associated with the bridge financing commitments related to the proposed Linear acquisition. 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.