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Share-Based Compensation Plans (Tables)
6 Months Ended
Apr. 30, 2020
Share-based Payment Arrangement [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 Statements of Income and Comprehensive Income for share-based awards were as follows:
Periods Ended April 30,
Three Months
 
Six Months
(In millions)
2020
 
2019
 
2020
 
2019
Selling, general and administrative expense
$
8.3

 
$
6.1

 
$
17.0

 
$
15.3

Cost of sales
1.1

 
1.4

 
2.1

 
2.9

Research and development expense
0.6

 
0.9

 
1.2

 
1.9

Total share-based compensation expense
$
10.0

 
$
8.4

 
$
20.3

 
$
20.1

Related income tax benefit
$
1.1

 
$
1.1

 
$
2.5

 
$
2.9