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Stock Plans (Tables)
12 Months Ended
Oct. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Compensation expense and related income tax benefit for share-based awards
Compensation expense and the related 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)202220212020
Selling, general and administrative expense$46.7 $38.4 $32.2 
Cost of sales4.5 3.9 4.0 
Research and development expense3.0 2.4 2.4 
Total compensation expense$54.2 $44.7 $38.6 
Related income tax benefit$5.0 $5.6 $4.8 
Assumptions used in estimating fair value of stock options award granted
Years Ended October 31,202220212020
Expected life4.1 years4.0 years4.4 years
Expected volatility25.8 %30.3 %24.5 %
Risk-free interest rate1.1 %0.3 %1.6 %
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, 2021972,692 $245.09 
Granted122,760 $403.44 
Exercised(26,866)$171.87 
Forfeited or expired(4,743)$325.21 
Outstanding at October 31, 20221,063,843 $264.85 5.75
Vested and expected to vest at October 31, 20221,038,594 $262.91 5.70$38,806,329 
Vested and exercisable at October 31, 2022624,512 $223.45 4.57$35,586,767 
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, 2021317,335 $293.80 
Granted113,079 $399.21 
Vested and issued(113,301)$271.74 
Forfeited or expired(27,875)$324.67 
Non-vested RSUs at October 31, 2022289,238 $340.68