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Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions | Oct. 31, 2024 | Oct. 31, 2023
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 3,190.6 | $ 2,916.1
Accumulated Amortization | 1,401.4 | 1,215.1
Intangible assets with definite lives, net | $ 1,789.2 | 1,701.0
Weighted-average Amortization Period (in years) | 16 years |
Intangible assets with indefinite lives, net | $ 1.8 | 9.3
Total other intangibles, net | 1,791.0 | 1,710.3
Trademarks |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 204.2 | 208.9
Accumulated Amortization | $ 90.6 | 81.1
Weighted-average Amortization Period (in years) | 15 years |
Composite intangible assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 1,101.6 | 1,061.9
Accumulated Amortization | $ 496.8 | 424.8
Weighted-average Amortization Period (in years) | 15 years |
Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 706.4 | 494.5
Accumulated Amortization | $ 384.3 | 335.4
Weighted-average Amortization Period (in years) | 11 years |
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 1,130.5 | 1,099.2
Accumulated Amortization | $ 402.5 | 345.8
Weighted-average Amortization Period (in years) | 19 years |
License and distribution rights and other |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 47.9 | 51.6
Accumulated Amortization | $ 27.2 | $ 28.0
Weighted-average Amortization Period (in years) | 11 years |

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