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Share-Based Compensation Plans (Tables)
 3 Months Ended
Jan. 31, 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:
Three Months Ended January 31,
 
(In millions)
2018
 
2017
Selling, general and administrative expense
$
10.7

 
$
9.6

Cost of sales
1.3

 
1.2

Research and development expense
0.7

 
0.4

Total share-based compensation expense
$
12.7

 
$
11.2

Related income tax benefit
$
2.5

 
$
3.3