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Share-Based Compensation Plans (Tables)
 6 Months Ended
Apr. 30, 2019
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)
2019
 
2018
 
2019
 
2018
Selling, general and administrative expense
$
6.1

 
$
12.8

 
$
15.3

 
$
23.6

Cost of sales
1.4

 
0.3

 
2.9

 
1.6

Research and development expense
0.9

 
0.5

 
1.9

 
1.1

Total share-based compensation expense
$
8.4

 
$
13.6

 
$
20.1

 
$
26.3

Related income tax benefit
$
1.1

 
$
3.1

 
$
2.9

 
$
5.6