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Stock Plans (Tables)
 12 Months Ended
Oct. 31, 2017
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)
2017
 
2016
 
2015
Selling, general and administrative expense
$
33.1

 
$
26.2

 
$
29.2

Cost of sales
2.8

 
2.6

 
2.8

Research and development expense
1.3

 
1.1

 
0.9

Total compensation expense
$
37.2

 
$
29.9

 
$
32.9

Related income tax benefit
$
11.4

 
$
9.0

 
$
10.2
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,
2017
 
2016
 
2015
Expected life
5.5 years

  
4.8 - 5.5 years

  
4.8 - 5.5 years

Expected volatility
24.5
%
  
27.6% - 27.7%

  
29.0% - 29.5%

Risk-free interest rate
1.2%

  
1.3% - 1.5%

  
1.3% - 1.5%

Dividend yield
0.03
%
  
0.04
%
  
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, 2016
1,105,388

 
$
107.74

  
 
 
 
Granted
194,416

 
$
175.31

  
 
 
 
Exercised
200,108

 
$
53.42

  
 
 
 
Forfeited or expired
35,230

 
$
136.90

  
 
 
 
Outstanding at October 31, 2017
1,064,466

 
$
129.33

  
6.95
 
 
Vested and expected to vest at October 31, 2017
1,045,509

 
$
128.99

 
6.92
 
$
116,337,456

Vested and exercisable at October 31, 2017
439,137

 
$
106.07

  
5.44
 
$
58,929,605
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, 2016
507,779

 
$
131.63

Granted
201,877

 
$
177.05

Vested and issued
150,423

 
$
126.27

Forfeited or expired
25,381

 
$
139.65

Non-vested RSUs at October 31, 2017
533,852

 
$
149.93