Selected Quarterly Financial Data (Unaudited) (Schedule of Selected Quarterly Financial Data) (Details) - USD ($) $ / shares in Units, $ in Thousands	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
Quarterly Financial Information Disclosure [Abstract]
Net sales	$ 651,500	$ 660,000	$ 631,300	$ 590,000	$ 561,500	$ 556,000	$ 522,400	$ 499,100	$ 2,532,800	$ 2,139,000	$ 1,966,800
Gross profit	430,000	426,800	404,500	370,900	353,400	356,200	343,900	312,400	1,632,300	1,365,800	1,173,100
Income before income taxes	112,700	90,400	54,000	74,800	96,600	107,700	109,500	80,100	331,900	394,000	295,600
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
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
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