Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2022	Oct. 31, 2021
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 2,751.4	$ 2,143.3
Accumulated Amortization	920.2	881.9
Intangible assets with definite lives, net	$ 1,831.2	1,261.4
Weighted Average Amortization Period (in years)	14 years
Intangible assets with indefinite lives, net	$ 10.8	10.1
Total other intangibles, net	1,842.0	1,271.5
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	298.0	156.7
Accumulated Amortization	$ 52.8	49.1
Weighted Average Amortization Period (in years)	14 years
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 1,061.9	1,061.8
Accumulated Amortization	$ 300.9	283.2
Weighted Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 514.4	513.0
Accumulated Amortization	$ 297.4	287.9
Weighted Average Amortization Period (in years)	10 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 844.6	378.4
Accumulated Amortization	$ 247.6	240.1
Weighted Average Amortization Period (in years)	13 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 32.5	33.4
Accumulated Amortization	$ 21.5	$ 21.6
Weighted Average Amortization Period (in years)	11 years