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Stock Plans (Tables)
12 Months Ended
Oct. 31, 2023
Share-Based Payment Arrangement [Abstract]  
Compensation expense and related income tax benefit for share-based awards
The compensation expense and related income tax benefit recognized in our Consolidated Statements of Income for share-based awards, including the Employee Stock Purchase Plan, were as follows:
October 31,
(In millions)202320222021
Selling, general and administrative expense$54.8 $46.7 $38.4 
Cost of sales4.2 4.5 3.9 
Research and development expense3.1 3.0 2.4 
Total compensation expense$62.1 $54.2 $44.7 
Related income tax benefit$5.0 $5.0 $5.6 
Assumptions used in estimating fair value of stock options award granted
Years Ended October 31,202320222021
Expected life4.5 years4.1 years4.0 years
Expected volatility29.5 %25.8 %30.3 %
Risk-free interest rate3.8 %1.1 %0.3 %
Dividend yield0.02 %0.02 %0.02 %
Schedule of stock option plans
The activity and status of our stock option plans are summarized below:
 Number of
Shares
Weighted-
Average
Exercise Price
Per Share
Weighted-
Average
Remaining
Contractual
Term
(in years)
Aggregate
Intrinsic Value
Outstanding at October 31, 20221,063,843 $264.85 
Granted86,241 $329.83 
Exercised(71,808)$155.45 
Forfeited or expired(720)$337.72 
Outstanding at October 31, 20231,077,556 $277.29 5.36$53,510,367 
Vested and expected to vest at October 31, 20231,059,841 $276.11 5.32$53,475,275 
Vested and exercisable at October 31, 2023729,591 $248.34 4.38$50,797,891 
Schedule of non-vested RSUs
The status of our non-vested RSUs is summarized below:
 Number of
Shares
 Weighted-
Average
Grant Date Fair
Value Per Share
Non-vested RSUs at October 31, 2022289,238 $340.68 
Granted145,655 $335.32 
Vested and issued(107,403)$320.22 
Forfeited or expired(37,461)$344.72 
Non-vested RSUs at October 31, 2023290,029 $345.03