Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($) $ in Millions	6 Months Ended
	Apr. 30, 2018	Oct. 31, 2017
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,045.0	$ 878.0
Accumulated Amortization & Translation	$ 443.0	373.3
Finite-Lived Intangible Asset, Useful Life	14 years
Other intangible assets, net	$ 1,602.0	504.7
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	140.5	44.5
Accumulated Amortization & Translation	$ 11.9	10.3
Finite-Lived Intangible Asset, Useful Life	17 years
Composite
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,061.9	0.0
Accumulated Amortization & Translation	$ 35.4	0.0
Finite-Lived Intangible Asset, Useful Life	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 407.9	428.8
Accumulated Amortization & Translation	$ 186.5	173.2
Finite-Lived Intangible Asset, Useful Life	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 359.4	335.5
Accumulated Amortization & Translation	$ 158.5	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	$ 75.3	69.2
Accumulated Amortization & Translation	$ 50.7	$ 44.5
Finite-Lived Intangible Asset, Useful Life	9 years