Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Oct. 31, 2019	Oct. 31, 2018	Oct. 31, 2017
Income Statement [Abstract]
Net sales	$ 2,653.4	$ 2,532.8	$ 2,139.0
Cost of sales	896.6	900.5	773.2
Gross profit	1,756.8	1,632.3	1,365.8
Selling, general and administrative expense	996.2	973.3	799.1
Research and development expense	86.7	84.8	69.2
Amortization of intangibles	145.8	146.7	68.4
Impairment of intangibles	0.4	24.4	0.0
Gain on sale of an intangible (Note 3)	(19.0)	0.0	0.0
Operating income	546.7	403.1	429.1
Interest expense	68.0	82.7	33.4
Other expense (income), net	1.3	(11.5)	1.7
Income before income taxes	477.4	331.9	394.0
Provision for income taxes (Note 5)	10.7	192.0	21.1
Net income	466.7	139.9	372.9
Net (loss) income attributable to Cooper stockholders	$ 466.7	$ 139.9	$ 372.9
Earnings per share - basic (Note 6) (in dollars per share)	$ 9.44	$ 2.85	$ 7.63
Earnings per share - diluted (Note 6) (in dollars per share)	$ 9.33	$ 2.81	$ 7.52
Number of shares used to compute earnings per share:
Basic (in shares)	49.4	49.1	48.9
Diluted (in shares)	50.0	49.7	49.6