Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2019	Oct. 31, 2018
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,052.0	$ 2,021.0
Accumulated Amortization & Translation	537.9	499.7
Other intangible assets, net	$ 1,514.1	1,521.3
Finite-Lived Intangible Asset, Useful Life	14 years
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 149.3	139.2
Accumulated Amortization & Translation	$ 19.4	16.9
Finite-Lived Intangible Asset, Useful Life	14 years
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,061.9	1,061.9
Accumulated Amortization & Translation	$ 88.5	70.8
Finite-Lived Intangible Asset, Useful Life	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 405.8	395.0
Accumulated Amortization & Translation	$ 198.5	190.7
Finite-Lived Intangible Asset, Useful Life	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 359.0	350.0
Accumulated Amortization & Translation	$ 175.3	168.6
Finite-Lived Intangible Asset, Useful Life	13 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 76.0	74.9
Accumulated Amortization & Translation	$ 56.2	$ 52.7
Finite-Lived Intangible Asset, Useful Life	9 years