Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	9 Months Ended
	Jul. 31, 2021	Oct. 31, 2020
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 2,144.4	$ 2,015.3
Accumulated Amortization	846.4	736.4
Intangible assets with definite lives, net	$ 1,298.0	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	1,308.1	1,289.0
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	1,061.9	1,061.9
Accumulated Amortization	$ 265.5	212.4
Weighted Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 513.3	401.2
Accumulated Amortization	$ 278.9	251.9
Weighted Average Amortization Period (in years)	10 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 379.3	367.0
Accumulated Amortization	$ 234.9	216.2
Weighted Average Amortization Period (in years)	13 years
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 156.8	153.4
Accumulated Amortization	$ 46.4	37.7
Weighted Average Amortization Period (in years)	14 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 33.1	31.8
Accumulated Amortization	$ 20.7	$ 18.2
Weighted Average Amortization Period (in years)	10 years