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Share-Based Compensation Plans (Tables)
 3 Months Ended
Jan. 31, 2017
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)
2017
 
2016
Selling, general and administrative expense
$
9.6

 
$
5.8

Cost of sales
1.2

 
0.5

Research and development expense
0.4

 
0.4

Total share-based compensation expense
$
11.2

 
$
6.7

Related income tax benefit
$
3.3

 
$
2.0