Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended			9 Months Ended
	Jul. 31, 2019	Apr. 30, 2019	Jul. 31, 2018	Jul. 31, 2019	Jul. 31, 2018	Oct. 31, 2018
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,992.9			$ 1,992.9		$ 2,012.1
Accumulated Amortization	563.2			563.2		499.7
Intangible assets with definite lives, net	1,429.7			$ 1,429.7		1,512.4
Weighted Average Amortization Period (In years)				14 years
Gain on sale of an intangible	0.0		$ 0.0	$ 19.0	$ 0.0
Amortization of intangibles	37.2		$ 37.7	110.7	$ 110.5
Intangible assets with indefinite lives, net	8.9			8.9		8.9
Total other intangible assets, net	1,438.6			1,438.6		1,521.3
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	148.3			148.3		138.1
Accumulated Amortization	24.6			$ 24.6		16.9
Weighted Average Amortization Period (In years)				14 years
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	1,061.9			$ 1,061.9		1,061.9
Accumulated Amortization	123.9			$ 123.9		70.8
Weighted Average Amortization Period (In years)				15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	398.8			$ 398.8		387.2
Accumulated Amortization	213.0			$ 213.0		190.7
Weighted Average Amortization Period (In years)				11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	356.1			$ 356.1		350.0
Accumulated Amortization	187.0			$ 187.0		168.6
Weighted Average Amortization Period (In years)				13 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	27.8			$ 27.8		74.9
Accumulated Amortization	14.7			$ 14.7		$ 52.7
Weighted Average Amortization Period (In years)				11 years
CooperSurgical
Finite-Lived Intangible Assets [Line Items]
Proceeds from sale of exclusive distribution right to distribute Filshie Clip System in the U.S.		$ 21.0
Gain on sale of an intangible		$ 19.0
CooperVision | Noncompete Agreements
Finite-Lived Intangible Assets [Line Items]
Amortization of intangibles	$ 37.3