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Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Millions | Oct. 31, 2023 | Oct. 31, 2022
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 2,916.1 | $ 2,919.0
Accumulated Amortization | 1,215.1 | 1,044.7
Intangible assets with definite lives, net | 1,701.0 | 1,874.3
Intangible assets with indefinite lives, net | 9.3 | 10.8
Total other intangibles, net | $ 1,710.3 | 1,885.1
Weighted-average Amortization Period (in years) | 16 years |
Trademarks |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 208.9 | 209.6
Accumulated Amortization | $ 81.1 | 62.4
Weighted-average Amortization Period (in years) | 15 years |
Composite intangible asset |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 1,061.9 | 1,061.9
Accumulated Amortization | $ 424.8 | 354.0
Weighted-average Amortization Period (in years) | 15 years |
Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 494.5 | 504.1
Accumulated Amortization | $ 335.4 | 317.5
Weighted-average Amortization Period (in years) | 13 years |
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 1,099.2 | 1,092.7
Accumulated Amortization | $ 345.8 | 287.0
Weighted-average Amortization Period (in years) | 19 years |
License and distribution rights and other |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 51.6 | 50.7
Accumulated Amortization | $ 28.0 | $ 23.8
Weighted-average Amortization Period (in years) | 11 years |

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- Definition Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(16)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-2 + Details
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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 928 -SubTopic 340 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org//1943274/2147483147/928-340-50-1 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-2 + Details
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