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Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Apr. 30, 2020 | Apr. 30, 2019 | Apr. 30, 2020 | Apr. 30, 2019 | Oct. 31, 2019
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross Carrying Amount | $ 1,994.5 |  | $ 1,994.5 |  | $ 1,995.8
Accumulated Amortization | 665.7 |  | 665.7 |  | 599.4
Intangible assets with definite lives, net | 1,328.8 |  | $ 1,328.8 |  | 1,396.4
Weighted Average Amortization Period (in years) |  |  | 14 years |  |
Amortization of intangibles | 33.9 | $ 36.9 | $ 68.8 | $ 73.5 |
Intangible assets with indefinite lives, net | 8.9 |  | 8.9 |  | 8.9
Total other intangibles, net | 1,337.7 |  | 1,337.7 |  | 1,405.3
Trademarks |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross Carrying Amount | 147.7 |  | 147.7 |  | 148.5
Accumulated Amortization | 32.3 |  | $ 32.3 |  | 27.3
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 |  | 1,061.9
Accumulated Amortization | 177.0 |  | $ 177.0 |  | 141.6
Weighted Average Amortization Period (in years) |  |  | 15 years |  |
Technology |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross Carrying Amount | 399.3 |  | $ 399.3 |  | 399.9
Accumulated Amortization | 236.2 |  | $ 236.2 |  | 221.2
Weighted Average Amortization Period (in years) |  |  | 11 years |  |
Customer relationships |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross Carrying Amount | 357.7 |  | $ 357.7 |  | 357.6
Accumulated Amortization | 203.5 |  | $ 203.5 |  | 194.0
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 |  | $ 27.9 |  | 27.9
Accumulated Amortization | $ 16.7 |  | $ 16.7 |  | $ 15.3
Weighted Average Amortization Period (in years) |  |  | 11 years |  |

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=118932676&loc=d3e3602-108585 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)(2) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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