Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($) $ in Millions	9 Months Ended
	Jul. 31, 2018	Oct. 31, 2017
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,025.4	$ 878.0
Accumulated Amortization & Translation	466.6	373.3
Other intangible assets, net	$ 1,558.8	504.7
Finite-Lived Intangible Asset, Useful Life	14 years
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 139.6	44.5
Accumulated Amortization & Translation	$ 14.6	10.3
Finite-Lived Intangible Asset, Useful Life	14 years
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,061.9	0.0
Accumulated Amortization & Translation	$ 53.1	0.0
Finite-Lived Intangible Asset, Useful Life	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 396.0	428.8
Accumulated Amortization & Translation	$ 183.9	173.2
Finite-Lived Intangible Asset, Useful Life	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 354.6	335.5
Accumulated Amortization & Translation	$ 163.6	145.3
Finite-Lived Intangible Asset, Useful Life	13 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 73.3	69.2
Accumulated Amortization & Translation	$ 51.4	$ 44.5
Finite-Lived Intangible Asset, Useful Life	9 years