Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2021	Oct. 31, 2020
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,143.3	$ 2,015.3
Accumulated Amortization	881.9	736.4
Intangible assets with definite lives, net	$ 1,261.4	1,278.9
Weighted Average Amortization Period (in years)	14 years
Intangible assets with indefinite lives, net	$ 10.1	10.1
Total other intangibles, net	1,271.5	1,289.0
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	156.7	153.4
Accumulated Amortization	$ 49.1	37.7
Weighted Average Amortization Period (in years)	14 years
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,061.8	1,061.9
Accumulated Amortization	$ 283.2	212.4
Weighted Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 513.0	401.2
Accumulated Amortization	$ 287.9	251.9
Weighted Average Amortization Period (in years)	10 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 378.4	367.0
Accumulated Amortization	$ 240.1	216.2
Weighted Average Amortization Period (in years)	13 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 33.4	31.8
Accumulated Amortization	$ 21.6	$ 18.2
Weighted Average Amortization Period (in years)	10 years