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Goodwill and Other Intangible Assets, Net - Schedule of the Components of Other Intangible Assets (Details) - USD ($) $ in Millions | Jan. 31, 2025 | Oct. 31, 2024 | Feb. 02, 2024
--- | --- | --- | ---
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years | 13 years 8 months 12 days | 13 years 8 months 12 days | 13 years 7 months 6 days
Gross Carrying Amount | $ 451.5 | $ 451.7 | $ 458.6
Accumulated Amortization | (232.4) | (224.6) | (198.7)
Net | 219.1 | 227.1 | 259.9
Indefinite-lived - trade names | 271.5 | 271.6 | 271.6
Total other intangible assets, gross | 723.0 | 723.3 | 730.2
Total other intangible assets, net | $ 490.6 | $ 498.7 | $ 531.5
Patents |  |  |
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years | 9 years 10 months 24 days | 9 years 10 months 24 days | 9 years 10 months 24 days
Gross Carrying Amount | $ 18.2 | $ 18.2 | $ 18.2
Accumulated Amortization | (16.9) | (16.7) | (16.2)
Net | $ 1.3 | $ 1.5 | $ 2.0
Customer-related |  |  |
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years | 16 years | 16 years | 15 years 9 months 18 days
Gross Carrying Amount | $ 319.8 | $ 319.9 | $ 327.6
Accumulated Amortization | (133.2) | (128.0) | (112.7)
Net | $ 186.6 | $ 191.9 | $ 214.9
Developed technology |  |  |
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years | 7 years 1 month 6 days | 7 years 1 month 6 days | 7 years 1 month 6 days
Gross Carrying Amount | $ 102.8 | $ 102.9 | $ 102.1
Accumulated Amortization | (75.3) | (72.9) | (65.6)
Net | $ 27.5 | $ 30.0 | $ 36.5
Trade names |  |  |
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years | 13 years 8 months 12 days | 13 years 8 months 12 days | 13 years 8 months 12 days
Gross Carrying Amount | $ 10.7 | $ 10.7 | $ 10.7
Accumulated Amortization | (7.0) | (7.0) | (4.2)
Net | $ 3.7 | $ 3.7 | $ 6.5

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