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Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jul. 31, 2019 | Apr. 30, 2019 | Apr. 30, 2018 | Oct. 31, 2019 | Oct. 31, 2018 | Oct. 31, 2017
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Gross Carrying Amount |  |  |  | $ 1,995.8 | $ 2,012.1 |
Accumulated Amortization & Translation |  |  |  | 599.4 | 499.7 |
Intangible assets with definitive lives, net |  |  |  | $ 1,396.4 | 1,512.4 |
Weighted Average Amortization Period (In years) |  |  |  | 14 years |  |
Intangible assets with indefinite lives, net |  |  |  | $ 8.9 | 8.9 |
Total other intangible assets, net |  |  |  | 1,405.3 | 1,521.3 |
Impairment of intangibles |  |  | $ 24.4 | 0.4 | 24.4 | $ 0.0
Gain on sale of an intangible |  |  |  | 19.0 | 0.0 | 0.0
Amortization of intangibles |  |  |  | 145.8 | 146.7 | $ 68.4
Trademarks |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Gross Carrying Amount |  |  |  | 148.5 | 138.1 |
Accumulated Amortization & Translation |  |  |  | $ 27.3 | 16.9 |
Weighted Average Amortization Period (In years) |  |  |  | 14 years |  |
Composite intangible asset |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Gross Carrying Amount |  |  |  | $ 1,061.9 | 1,061.9 |
Accumulated Amortization & Translation |  |  |  | $ 141.6 | 70.8 |
Weighted Average Amortization Period (In years) |  |  |  | 15 years |  |
Technology |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Gross Carrying Amount |  |  |  | $ 399.9 | 387.2 |
Accumulated Amortization & Translation |  |  |  | $ 221.2 | 190.7 |
Weighted Average Amortization Period (In years) |  |  |  | 11 years |  |
Customer relationships |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Gross Carrying Amount |  |  |  | $ 357.6 | 350.0 |
Accumulated Amortization & Translation |  |  |  | $ 194.0 | 168.6 |
Weighted Average Amortization Period (In years) |  |  |  | 13 years |  |
License and distribution rights and other |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Gross Carrying Amount |  |  |  | $ 27.9 | 74.9 |
Accumulated Amortization & Translation |  |  |  | $ 15.3 | $ 52.7 |
Weighted Average Amortization Period (In years) |  |  |  | 11 years |  |
CooperSurgical |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Proceeds from sale of exclusive distribution right to distribute Filshie Clip System in the U.S. |  | $ 21.0 |  |  |  |
Gain on sale of an intangible |  | $ 19.0 |  |  |  |
CooperVision | Non-compete agreements |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |
Amortization of intangibles | $ 37.3 |  |  |  |  |

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