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Selected Quarterly Financial Data (Unaudited) (Tables)
 12 Months Ended
Oct. 31, 2018
Quarterly Financial Information Disclosure [Abstract]  
Schedule of Quarterly Financial Data
(In millions, except for earnings per share)
First
Quarter
 
Second
Quarter
 
Third
Quarter
 
Fourth
Quarter
2018
 
 
 
 
 
 
 
Net sales
$
590.0

 
$
631.3

 
$
660.0

 
$
651.5

Gross profit
$
370.9

 
$
404.5

 
$
426.8

 
$
430.0

Income before income taxes
$
74.8

 
$
54.0

 
$
90.4

 
$
112.7

Net (loss) income attributable to Cooper stockholders
$
(122.5
)
 
$
60.9

 
$
100.8

 
$
100.6

Earnings (loss) per share attributable to Cooper stockholders - basic
$
(2.50
)
 
$
1.24

 
$
2.05

 
$
2.05

Earnings (loss) per share attributable to Cooper stockholders - diluted
$
(2.50
)
 
$
1.23

 
$
2.03

 
$
2.02

2017
 
 
 
 
 
 
 
Net sales
$
499.1

 
$
522.4

 
$
556.0

 
$
561.5

Gross profit
$
312.4

 
$
343.9

 
$
356.2

 
$
353.4

Income before income taxes
$
80.1

 
$
109.5

 
$
107.7

 
$
96.6

Net income attributable to Cooper stockholders
$
75.8

 
$
104.9

 
$
103.6

 
$
88.6

Earnings per share attributable to Cooper stockholders - basic
$
1.55

 
$
2.14

 
$
2.12

 
$
1.82

Earnings per share attributable to Cooper stockholders - diluted
$
1.53

 
$
2.12

 
$
2.09

 
$
1.78