Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($) $ in Millions	Jan. 31, 2017	Oct. 31, 2016
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 817.4	$ 742.9
Accumulated Amortization & Translation	318.9	301.8
Other intangible assets, net	498.5	441.1
Trademarks [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	39.9	36.6
Accumulated Amortization & Translation	7.5	6.8
Technology-Based Intangible Assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	421.6	354.8
Accumulated Amortization & Translation	147.7	139.3
Customer Relationships [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	288.9	285.7
Accumulated Amortization & Translation	127.1	121.9
License and distribution right and other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	67.0	65.8
Accumulated Amortization & Translation	$ 36.6	$ 33.8