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Stock Plans (Tables)
12 Months Ended
Oct. 31, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of Compensation Expense and Related Income Tax Benefit for Share-Based Awards
The compensation cost and related tax benefit recognized in our consolidated financial statements for share-based awards were as follows:
October 31,
 
 
 
(In millions)
2018
 
2017
 
2016
Selling, general and administrative expense
$
37.6

 
$
33.1

 
$
26.2

Cost of sales
3.6

 
2.8

 
2.6

Research and development expense
2.0

 
1.3

 
1.1

Total compensation expense
$
43.2

 
$
37.2

 
$
29.9

Related income tax benefit
$
8.8

 
$
11.4

 
$
9.0

Schedule of Assumptions Used in Estimating Fair Value of Stock Options Award Granted
The dividend yield is based on the projected annual dividend payment per share, divided by the stock price at the date of grant.

Years Ended October 31,
2018
 
2017
 
2016
Expected life
5.4 years

  
 5.5 years

  
4.8 - 5.5 years

Expected volatility
23.0
%
  
24.5% 

  
27.6% - 27.7%

Risk-free interest rate
2.0
%
  
1.2
%
  
1.3% - 1.5%

Dividend yield
0.03
%
  
0.03
%
  
0.04
%
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, 2017
1,064,466

 
$
129.33

  
 
 
 
Granted
256,639

 
$
229.49

  
 
 
 
Exercised
234,107

 
$
95.26

  
 
 
 
Forfeited or expired

 
$

  
 
 
 
Outstanding at October 31, 2018
1,086,998

 
$
160.31

  
7.17
 
 
Vested and expected to vest at October 31, 2018
1,055,266

 
$
159.19

 
7.13
 
$
104,596,614

Vested and exercisable at October 31, 2018
379,113

 
$
127.11

  
5.71
 
$
49,741,332

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, 2017
533,852

 
$
149.93

Granted
162,121

 
$
230.06

Vested and issued
184,121

 
$
139.07

Forfeited or expired
24,538

 
$
169.71

Non-vested RSUs at October 31, 2018
487,314

 
$
179.70