Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	9 Months Ended
	Jul. 31, 2020	Oct. 31, 2019
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,004.6	$ 1,995.8
Accumulated Amortization	703.3	599.4
Intangible assets with definite lives, net	$ 1,301.3	1,396.4
Weighted Average Amortization Period (in years)	14 years
Intangible assets with indefinite lives, net	$ 10.1	8.9
Total other intangibles, net	1,311.4	1,405.3
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	148.4	148.5
Accumulated Amortization	$ 35.1	27.3
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
Accumulated Amortization	$ 194.7	141.6
Weighted Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 401.3	399.9
Accumulated Amortization	$ 244.4	221.2
Weighted Average Amortization Period (in years)	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 365.1	357.6
Accumulated Amortization	$ 211.6	194.0
Weighted Average Amortization Period (in years)	13 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 27.9	27.9
Accumulated Amortization	$ 17.4	$ 15.3
Weighted Average Amortization Period (in years)	11 years