Income Taxes - Income Tax Provision Reconciliation (Details) - USD ($) $ in Thousands	3 Months Ended																12 Months Ended
	Oct. 31, 2015	[1]	Aug. 01, 2015	[1]	May. 02, 2015	[1]	Jan. 31, 2015	[1]	Nov. 01, 2014	[1]	Aug. 02, 2014	[1]	May. 03, 2014	[1]	Feb. 01, 2014	[1]	Oct. 31, 2015	Nov. 01, 2014	Nov. 02, 2013
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:																	$ 283,540	$ 255,271	$ 285,363
State income taxes, net of federal benefit																	(4,425)	(6,361)	(2,098)
Valuation allowance																	(4,875)	(2,846)	(3,113)
Research and development tax credits																	(8,232)	(1,165)	(12,914)
Change in uncertain tax positions																	2,449	719	37,226
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Amortization, Amount																	38,973	8,126	0
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount																	0	15,656	0
Other, net																	(5,883)	4,262	(6,568)
Income Tax Expense (Benefit)	$ 8,372		$ 43,000		$ 39,851		$ 22,013		$ 30,003		$ 16,782		$ 29,935		$ 23,305		113,236	100,025	141,836
Irish [Member]
Income tax provision reconciliation:
Net foreign tax in excess of U.S. federal statutory tax rate																	$ 198,061	$ 179,329	$ 162,286

[1] 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.