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Goodwill and Other Intangible Assets - Components of Other Intangible Assets (Details) - USD ($) $ in Millions | Oct. 31, 2023 | Oct. 31, 2022
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Other Intangible Assets |  |
Estimated useful life | 13 years 3 months 18 days | 13 years 4 months 24 days
Gross Carrying Amount | $ 471.0 | $ 464.3
Accumulated Amortization | (202.4) | (167.8)
Net | 268.6 | 296.5
Indefinite-lived - trade names | 271.5 | 289.3
Total other intangible assets, gross | 742.5 | 753.6
Total other intangible assets, net | $ 540.1 | $ 585.8
Patents |  |
Other Intangible Assets |  |
Estimated useful life | 9 years 10 months 24 days | 9 years 10 months 24 days
Gross Carrying Amount | $ 18.2 | $ 18.2
Accumulated Amortization | (16.0) | (15.3)
Net | $ 2.2 | $ 2.9
Non-compete agreements |  |
Other Intangible Assets |  |
Estimated useful life | 5 years 6 months | 5 years 6 months
Gross Carrying Amount | $ 6.9 | $ 6.8
Accumulated Amortization | (6.9) | (6.8)
Net | $ 0.0 | $ 0.0
Customer-related |  |
Other Intangible Assets |  |
Estimated useful life | 15 years 9 months 18 days | 16 years
Gross Carrying Amount | $ 327.5 | $ 321.0
Accumulated Amortization | (106.7) | (83.8)
Net | $ 220.8 | $ 237.2
Developed technology |  |
Other Intangible Assets |  |
Estimated useful life | 7 years 1 month 6 days | 7 years 1 month 6 days
Gross Carrying Amount | $ 102.0 | $ 101.9
Accumulated Amortization | (63.1) | (53.0)
Net | $ 38.9 | $ 48.9
Trade names |  |
Other Intangible Assets |  |
Estimated useful life | 13 years 8 months 12 days | 13 years 9 months 18 days
Gross Carrying Amount | $ 10.7 | $ 10.7
Accumulated Amortization | (4.0) | (3.4)
Net | $ 6.7 | $ 7.3
Backlog and other |  |
Other Intangible Assets |  |
Estimated useful life | 7 months 6 days | 7 months 6 days
Gross Carrying Amount | $ 5.7 | $ 5.7
Accumulated Amortization | (5.7) | (5.5)
Net | $ 0.0 | $ 0.2

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