Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($) $ in Millions	9 Months Ended
	Jul. 31, 2017	Oct. 31, 2016
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 843.4	$ 742.9
Accumulated Amortization & Translation	$ 355.5	301.8
Finite-Lived Intangible Asset, Useful Life	12 years
Other intangible assets, net	$ 487.9	441.1
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	40.7	36.6
Accumulated Amortization & Translation	$ 9.4	6.8
Finite-Lived Intangible Asset, Useful Life	12 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 423.5	354.8
Accumulated Amortization & Translation	$ 164.7	139.3
Finite-Lived Intangible Asset, Useful Life	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 310.3	285.7
Accumulated Amortization & Translation	$ 139.3	121.9
Finite-Lived Intangible Asset, Useful Life	13 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 68.9	65.8
Accumulated Amortization & Translation	$ 42.1	$ 33.8
Finite-Lived Intangible Asset, Useful Life	9 years