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Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Apr. 30, 2019
Apr. 30, 2018
Apr. 30, 2019
Apr. 30, 2018
Oct. 31, 2018
Finite-Lived Intangible Assets [Line Items]          
Gross Carrying Amount $ 2,032.6   $ 2,032.6   $ 2,012.1
Accumulated Amortization 567.4   567.4   499.7
Intangible assets with definite lives, net 1,465.2   1,465.2   1,512.4
Intangible assets with indefinite lives, net 8.9   8.9   8.9
Total other intangible assets, net 1,474.1   $ 1,474.1   1,521.3
Finite-Lived Intangible Asset, Useful Life     14 years    
Proceeds from sale of exclusive distribution right to distribute Filshie Clip System in the U.S. 21.0        
Gain on sale of exclusive distribution right to distribute Filshie Clip System in the U.S. 19.0 $ 0.0 $ 19.0 $ 0.0  
Trademarks          
Finite-Lived Intangible Assets [Line Items]          
Gross Carrying Amount 147.8   147.8   138.1
Accumulated Amortization 22.0   $ 22.0   16.9
Finite-Lived Intangible Asset, Useful Life     14 years    
Composite intangible asset          
Finite-Lived Intangible Assets [Line Items]          
Gross Carrying Amount 1,061.9   $ 1,061.9   1,061.9
Accumulated Amortization 106.1   $ 106.1   70.8
Finite-Lived Intangible Asset, Useful Life     15 years    
Technology          
Finite-Lived Intangible Assets [Line Items]          
Gross Carrying Amount 397.9   $ 397.9   387.2
Accumulated Amortization 206.1   $ 206.1   190.7
Finite-Lived Intangible Asset, Useful Life     11 years    
Customer relationships          
Finite-Lived Intangible Assets [Line Items]          
Gross Carrying Amount 357.7   $ 357.7   350.0
Accumulated Amortization 181.3   $ 181.3   168.6
Finite-Lived Intangible Asset, Useful Life     13 years    
License and distribution rights and other(1)          
Finite-Lived Intangible Assets [Line Items]          
Gross Carrying Amount 67.3   $ 67.3   74.9
Accumulated Amortization $ 51.9   $ 51.9   $ 52.7
Finite-Lived Intangible Asset, Useful Life     7 years