Stock-Based Compensation and Shareholders' Equity - Stock-based Compensation Expense (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jul. 31, 2021	Aug. 01, 2020	Jul. 31, 2021	Aug. 01, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 41,687	$ 39,560	$ 118,683	$ 112,961
Cost of sales
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	4,331	4,508	13,338	13,428
Research and development
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	19,806	19,158	57,675	55,163
Selling, marketing, general and administrative
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	17,550	14,951	47,670	43,427
Special charges, net
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 0	$ 943	$ 0	$ 943