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Stock Plans (Tables)
12 Months Ended
Oct. 31, 2021
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)202120202019
Selling, general and administrative expense$38.4 $32.2 $28.7 
Cost of sales3.9 4.0 4.7 
Research and development expense2.4 2.4 2.9 
Total compensation expense$44.7 $38.6 $36.3 
Related income tax benefit$5.6 $4.8 $5.1 
Assumptions used in estimating fair value of stock options award granted
Years Ended October 31,202120202019
Expected life4.0 years4.4 years4.4 years
Expected volatility30.3 %24.5 %22.0 %
Risk-free interest rate0.3 %1.6 %2.9 %
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, 20201,103,507 $213.53 
Granted109,440 $345.74 
Exercised(235,478)$142.31 
Forfeited or expired(4,777)$327.62 
Outstanding at October 31, 2021972,692 $245.09 6.22
Vested and expected to vest at October 31, 2021939,788 $243.15 6.16$163,310,445 
Vested and exercisable at October 31, 2021470,748 $207.13 4.99$98,757,454 
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, 2020368,620 $247.09 
Granted114,111 $352.92 
Vested and issued(137,119)$222.42 
Forfeited or expired(28,277)$269.62 
Non-vested RSUs at October 31, 2021317,335 $293.80