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Share-Based Compensation Plans (Tables)
 6 Months Ended
Apr. 30, 2018
Share-based Compensation [Abstract]  
Schedule of Compensation Expense and Related Income Tax Benefit for Share-Based Awards
The compensation expense and related income tax benefit recognized in our consolidated condensed financial statements for share-based awards were as follows:
Periods Ended April 30,
Three Months
 
Six Months
(In millions)
2018
 
2017
 
2018
 
2017
Selling, general and administrative expense
$
12.8

 
$
7.6

 
$
23.6

 
$
17.2

Cost of sales
0.3

 
0.8

 
1.6

 
2.0

Research and development expense
0.5

 
0.3

 
1.1

 
0.6

Total share-based compensation expense
$
13.6

 
$
8.7

 
$
26.3

 
$
19.8

Related income tax benefit
$
3.1

 
$
2.6

 
$
5.6

 
$
5.9