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Earnings Per Share (Schedule of Earnings Per Share) (Details) - USD ($)
$ / shares in Units, $ in Thousands, shares in Millions
3 Months Ended 12 Months Ended
Oct. 31, 2017
Jul. 31, 2017
Apr. 30, 2017
Jan. 31, 2017
Oct. 31, 2016
Jul. 31, 2016
Apr. 30, 2016
Jan. 31, 2016
Oct. 31, 2017
Oct. 31, 2016
Oct. 31, 2015
Earnings Per Share [Abstract]                      
Net income attributable to Cooper stockholders $ 88,600 $ 103,600 $ 104,900 $ 75,800 $ 60,500 $ 87,900 $ 74,100 $ 51,400 $ 372,900 $ 273,900 $ 203,500
Weighted average common shares                 48.9 48.5 48.5
Basic earnings per share attributable to Cooper stockholders $ 1.82 $ 2.12 $ 2.14 $ 1.55 $ 1.25 $ 1.81 $ 1.53 $ 1.06 $ 7.63 $ 5.65 $ 4.20
Effect of dilutive stock options                 0.7 0.5 0.7
Diluted weighted average common shares                 49.6 49.0 49.2
Diluted earnings per share attributable to Cooper stockholders $ 1.78 $ 2.09 $ 2.12 $ 1.53 $ 1.23 $ 1.79 $ 1.52 $ 1.05 $ 7.52 $ 5.59 $ 4.14