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Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions | 6 Months Ended |
--- | --- | ---
Apr. 30, 2021 | Oct. 31, 2020
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 2,193.1 | $ 2,015.3
Accumulated Amortization | 810.8 | 736.4
Intangible assets with definite lives, net | $ 1,382.3 | 1,278.9
Weighted Average Amortization Period (in years) | 14 years |
Intangible assets with indefinite lives, net | $ 30.1 | 10.1
Total other intangibles, net | 1,412.4 | 1,289.0
Composite intangible asset |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 1,061.9 | 1,061.9
Accumulated Amortization | $ 247.8 | 212.4
Weighted Average Amortization Period (in years) | 15 years |
Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 564.8 | 401.2
Accumulated Amortization | $ 270.1 | 251.9
Weighted Average Amortization Period (in years) | 11 years |
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 378.3 | 367.0
Accumulated Amortization | $ 229.7 | 216.2
Weighted Average Amortization Period (in years) | 13 years |
Trademarks |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 155.9 | 153.4
Accumulated Amortization | $ 43.3 | 37.7
Weighted Average Amortization Period (in years) | 14 years |
License and distribution rights and other |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 32.2 | 31.8
Accumulated Amortization | $ 19.9 | $ 18.2
Weighted Average Amortization Period (in years) | 10 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 -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + 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 -Publisher FASB -Name Accounting Standards Codification -Topic 928 -SubTopic 340 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6473545&loc=d3e61844-108004 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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