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Goodwill and Other Intangible Assets, Net - Schedule of the Components of Other Intangible Assets (Details) - USD ($) $ in Millions | Aug. 02, 2024 | Oct. 31, 2023 | Aug. 04, 2023
--- | --- | --- | ---
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years | 13 years 6 months | 13 years 3 months 18 days | 13 years 2 months 12 days
Gross Carrying Amount | $ 459.5 | $ 471.0 | $ 472.7
Accumulated Amortization | (218.7) | (202.4) | (195.1)
Net | 240.8 | 268.6 | 277.6
Indefinite-lived - trade names | 271.6 | 271.5 | 271.6
Total other intangible assets, gross | 731.1 | 742.5 | 744.3
Total other intangible assets, net | $ 512.4 | $ 540.1 | $ 549.2
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 | (16.6) | (16.0) | (15.8)
Net | $ 1.6 | $ 2.2 | $ 2.4
Non-compete agreements |  |  |
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years |  | 5 years 6 months | 5 years 6 months
Gross Carrying Amount |  | $ 6.9 | $ 6.9
Accumulated Amortization |  | (6.9) | (6.9)
Net |  | $ 0.0 | $ 0.0
Customer-related |  |  |
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years | 15 years 9 months 18 days | 15 years 9 months 18 days | 15 years 8 months 12 days
Gross Carrying Amount | $ 327.7 | $ 327.5 | $ 329.1
Accumulated Amortization | (124.8) | (106.7) | (102.0)
Net | $ 202.9 | $ 220.8 | $ 227.1
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 | $ 102.9 | $ 102.0 | $ 102.1
Accumulated Amortization | (70.4) | (63.1) | (60.8)
Net | $ 32.5 | $ 38.9 | $ 41.3
Backlog and other |  |  |
Other Intangible Assets |  |  |
Weighted-Average Useful Life in Years |  | 7 months 6 days | 7 months 6 days
Gross Carrying Amount |  | $ 5.7 | $ 5.7
Accumulated Amortization |  | (5.7) | (5.7)
Net |  | $ 0.0 | $ 0.0
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 | (6.9) | (4.0) | (3.9)
Net | $ 3.8 | $ 6.7 | $ 6.8

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