Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2021	Oct. 31, 2020
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 2,102.1	$ 2,015.3
Accumulated Amortization	773.6	736.4
Intangible assets with definite lives, net	$ 1,328.5	1,278.9
Weighted Average Amortization Period (in years)	14 years
Intangible assets with indefinite lives, net	$ 30.1	10.1
Total other intangibles, net	1,358.6	1,289.0
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	1,061.9	1,061.9
Accumulated Amortization	$ 230.1	212.4
Weighted Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 473.8	401.2
Accumulated Amortization	$ 259.9	251.9
Weighted Average Amortization Period (in years)	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 379.6	367.0
Accumulated Amortization	$ 224.1	216.2
Weighted Average Amortization Period (in years)	13 years
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 155.0	153.4
Accumulated Amortization	$ 40.5	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	$ 31.8	31.8
Accumulated Amortization	$ 19.0	$ 18.2
Weighted Average Amortization Period (in years)	10 years