Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2018	Oct. 31, 2017
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,002.2	$ 878.0
Accumulated Amortization & Translation	$ 414.4	373.3
Finite-Lived Intangible Asset, Useful Life	14 years
Other intangible assets, net	$ 1,587.8	504.7
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	69.4	44.5
Accumulated Amortization & Translation	$ 11.5	10.3
Finite-Lived Intangible Asset, Useful Life	13 years
Composite
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,061.9	0.0
Accumulated Amortization & Translation	$ 17.7	0.0
Finite-Lived Intangible Asset, Useful Life	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 432.1	428.8
Accumulated Amortization & Translation	$ 182.7	173.2
Finite-Lived Intangible Asset, Useful Life	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 362.5	335.5
Accumulated Amortization & Translation	$ 153.5	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	$ 76.3	69.2
Accumulated Amortization & Translation	$ 49.0	$ 44.5
Finite-Lived Intangible Asset, Useful Life	9 years