Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 30, 2020	Apr. 30, 2019	Apr. 30, 2020	Apr. 30, 2019	Oct. 31, 2019
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,994.5		$ 1,994.5		$ 1,995.8
Accumulated Amortization	665.7		665.7		599.4
Intangible assets with definite lives, net	1,328.8		$ 1,328.8		1,396.4
Weighted Average Amortization Period (in years)			14 years
Amortization of intangibles	33.9	$ 36.9	$ 68.8	$ 73.5
Intangible assets with indefinite lives, net	8.9		8.9		8.9
Total other intangibles, net	1,337.7		1,337.7		1,405.3
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	147.7		147.7		148.5
Accumulated Amortization	32.3		$ 32.3		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		1,061.9
Accumulated Amortization	177.0		$ 177.0		141.6
Weighted Average Amortization Period (in years)			15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	399.3		$ 399.3		399.9
Accumulated Amortization	236.2		$ 236.2		221.2
Weighted Average Amortization Period (in years)			11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	357.7		$ 357.7		357.6
Accumulated Amortization	203.5		$ 203.5		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	27.9		$ 27.9		27.9
Accumulated Amortization	$ 16.7		$ 16.7		$ 15.3
Weighted Average Amortization Period (in years)			11 years