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Earnings Per Share (Schedule of Earnings Per Share) (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended
Jan. 31, 2017
Jan. 31, 2016
Earnings Per Share [Abstract]    
Net income attributable to Cooper stockholders $ 75.8 $ 51.4
Basic:    
Weighted average common shares 48.8 48.3
Basic earnings per common share attributable to Cooper stockholders $ 1.55 $ 1.06
Diluted:    
Effect of potential dilutive common shares 0.6 0.5
Diluted weighted average common shares 49.4 48.8
Diluted earnings per common share attributable to Cooper stockholders $ 1.53 $ 1.05