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Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($)
$ in Millions
Apr. 30, 2017
Oct. 31, 2016
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 822.1 $ 742.9
Accumulated Amortization & Translation 337.1 301.8
Other intangible assets, net 485.0 441.1
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 40.1 36.6
Accumulated Amortization & Translation 8.4 6.8
Technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 422.7 354.8
Accumulated Amortization & Translation 156.5 139.3
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 291.1 285.7
Accumulated Amortization & Translation 132.8 121.9
License and distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 68.2 65.8
Accumulated Amortization & Translation $ 39.4 $ 33.8