Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2020	Oct. 31, 2019
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,015.3	$ 1,995.8
Accumulated Amortization	736.4	599.4
Intangible assets with definite lives, net	$ 1,278.9	1,396.4
Weighted Average Amortization Period (in years)	14 years
Intangible assets with indefinite lives, net	$ 10.1	8.9
Total other intangible assets, net	1,289.0	1,405.3
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	153.4	148.5
Accumulated Amortization	$ 37.7	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	$ 212.4	141.6
Weighted Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 401.2	399.9
Accumulated Amortization	$ 251.9	221.2
Weighted Average Amortization Period (in years)	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 367.0	357.6
Accumulated Amortization	$ 216.2	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	$ 31.8	27.9
Accumulated Amortization	$ 18.2	$ 15.3
Weighted Average Amortization Period (in years)	10 years