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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 |  |

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