Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2020	Jan. 31, 2019	Oct. 31, 2019
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,999.8		$ 1,995.8
Accumulated Amortization	634.3		599.4
Intangible assets with definite lives, net	$ 1,365.5		1,396.4
Weighted Average Amortization Period (in years)	14 years
Amortization of intangibles	$ 34.9	$ 36.6
Intangible assets with indefinite lives, net	8.9		8.9
Total other intangibles, net	1,374.4		1,405.3
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	148.5		148.5
Accumulated Amortization	$ 29.8		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
Accumulated Amortization	$ 159.3		141.6
Weighted Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 400.2		399.9
Accumulated Amortization	$ 229.1		221.2
Weighted Average Amortization Period (in years)	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 361.4		357.6
Accumulated Amortization	$ 200.1		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	$ 27.8		27.9
Accumulated Amortization	$ 16.0		$ 15.3
Weighted Average Amortization Period (in years)	11 years