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Stock-Based Compensation and Shareholders' Equity (Tables)
 6 Months Ended
May 01, 2021
Share-based Payment Arrangement [Abstract]  
Summary of the activity under the company's stock option plans
A summary of the Company’s stock option activity as of May 1, 2021 and changes during the six-month period then ended is presented below:
Options
Outstanding
(in thousands)
Weighted-
Average Exercise
Price Per Share
Weighted-
Average
Remaining
Contractual
Term in Years
Aggregate
Intrinsic
Value
Options outstanding at October 31, 20204,192 $70.73 
Options granted644 $145.04 
Options exercised(695)$62.80 
Options forfeited(30)$86.47 
Options expired(6)$40.70
Options outstanding at May 1, 20214,105 $83.66 5.9$285,319 
Options exercisable at May 1, 20212,673 $65.99 4.6$233,013 
Options vested or expected to vest at May 1, 2021 (1)3,985 $82.43 5.8$281,816 
(1) In addition to the vested options, the Company expects a portion of the unvested options to vest at some point in the future. The number of options expected to vest is calculated by applying an estimated forfeiture rate to the unvested options.
Schedule of share-based compensation, restricted stock units award activity
A summary of the Company’s restricted stock unit/award activity as of May 1, 2021 and changes during the six-month period then ended is presented below: 
Restricted
Stock Units/Awards
Outstanding
(in thousands)
Weighted-
Average Grant-
Date Fair Value
Per Share
Restricted stock units/awards outstanding at October 31, 20203,637 $91.54 
Units/Awards granted1,011 $143.71 
Restrictions lapsed(945)$90.21 
Forfeited(100)$99.51 
Restricted stock units/awards outstanding at May 1, 20213,603 $104.18 
Schedule of stock-based compensation expense
Total stock-based compensation expense recognized was as follows:
Three Months EndedSix Months Ended
May 1, 2021May 2, 2020May 1, 2021May 2, 2020
Cost of sales$4,653 $4,356 $9,007 $8,920 
Research and development19,548 18,400 37,869 36,005 
Selling, marketing, general and administrative16,157 13,144 30,120 28,476 
Total stock-based compensation expense$40,358 $35,900 $76,996 $73,401