Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Oct. 31, 2020	Oct. 31, 2019	Oct. 31, 2018
Income Statement [Abstract]
Net sales	$ 2,430.9	$ 2,653.4	$ 2,532.8
Cost of sales	896.1	896.6	900.5
Gross profit	1,534.8	1,756.8	1,632.3
Selling, general and administrative expense	992.5	996.2	973.3
Research and development expense	93.3	86.7	84.8
Amortization of intangibles	137.2	145.8	146.7
Impairment of intangibles	0.0	0.4	24.4
Gain on sale of an intangible (Note 4)	0.0	(19.0)	0.0
Operating income	311.8	546.7	403.1
Interest expense	36.8	68.0	82.7
Other expense (income), net	8.5	1.3	(11.5)
Income before income taxes	266.5	477.4	331.9
Provision for income taxes (Note 6)	28.1	10.7	192.0
Net income	238.4	466.7	139.9
Net income attributable to Cooper stockholders	$ 238.4	$ 466.7	$ 139.9
Earnings per share (Note 7)
Basic (in dollars per share)	$ 4.85	$ 9.44	$ 2.85
Diluted (in dollars per share)	$ 4.81	$ 9.33	$ 2.81
Number of shares used to compute earnings per share:
Basic (in shares)	49.1	49.4	49.1
Diluted (in shares)	49.6	50.0	49.7