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Stock Plans (Tables)
12 Months Ended
Oct. 31, 2020
Share-based Payment Arrangement [Abstract]  
Schedule of compensation expense and related income tax benefit for share-based awards
Compensation expense and the related tax benefit recognized in our consolidated financial statements for share-based awards, including the Employee Stock Purchase Plan, were as follows:
October 31,
 
 
 
(In millions)
2020
 
2019
 
2018
Selling, general and administrative expense
$
32.2

 
$
28.7

 
$
37.6

Cost of sales
4.0

 
4.7

 
3.6

Research and development expense
2.4

 
2.9

 
2.0

Total compensation expense
$
38.6

 
$
36.3

 
$
43.2

Related income tax benefit
$
4.8

 
$
5.1

 
$
8.8


Schedule of assumptions used in estimating fair value of stock options award granted
Years Ended October 31,
2020
 
2019
 
2018
Expected life
4.4 years


4.4 years


5.4 years

Expected volatility
24.5
%
 
22.0
%
 
23.0
%
Risk-free interest rate
1.6
%
 
2.9
%
 
2
%
Dividend yield
0.02
%

0.02
%

0.03
%

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, 2019
1,024,752

 
$
186.24

 
 
 
 
Granted
212,046

 
$
304.54

 
 
 
 
Exercised
(105,045
)
 
$
128.43

 
 
 
 
Forfeited or expired
(28,246
)
 
$
223.28

 
 
 
 
Outstanding at October 31, 2020
1,103,507

 
$
213.53

 
6.44
 
 
Vested and expected to vest at October 31, 2020
1,060,738

 
$
211.04

 
6.36
 
$
114,567,509

Vested and exercisable at October 31, 2020
430,926

 
$
167.09

 
5.01
 
$
65,485,571


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, 2019
429,571

 
$
210.72

Granted
130,610

 
$
301.59

Vested and issued
(151,613
)
 
$
192.10

Forfeited or expired
(39,948
)
 
$
242.12

Non-vested RSUs at October 31, 2020
368,620

 
$
247.09