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, 2018	Jul. 31, 2018	Apr. 30, 2018	Jan. 31, 2018	Oct. 31, 2017	Jul. 31, 2017	Apr. 30, 2017	Jan. 31, 2017	Oct. 31, 2018	Oct. 31, 2017	Oct. 31, 2016
Earnings Per Share [Abstract]
Net (loss) income attributable to Cooper stockholders	$ 100,600	$ 100,800	$ 60,900	$ (122,500)	$ 88,600	$ 103,600	$ 104,900	$ 75,800	$ 139,900	$ 372,900	$ 273,900
Weighted average common shares									49.1	48.9	48.5
Basic earnings per share attributable to Cooper stockholders	$ 2.05	$ 2.05	$ 1.24	$ (2.50)	$ 1.82	$ 2.12	$ 2.14	$ 1.55	$ 2.85	$ 7.63	$ 5.65
Effect of dilutive stock options									0.6	0.7	0.5
Diluted weighted average common shares									49.7	49.6	49.0
Diluted earnings per share attributable to Cooper stockholders	$ 2.02	$ 2.03	$ 1.23	$ (2.50)	$ 1.78	$ 2.09	$ 2.12	$ 1.53	$ 2.81	$ 7.52	$ 5.59