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Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended | 12 Months Ended
--- | --- | --- | ---
Apr. 30, 2021 | May 01, 2020 | Apr. 30, 2021 | May 01, 2020 | Oct. 31, 2020
Other Intangible Assets |  |  |  |  |
Weighted-Average Useful Life in Years |  |  | 14 years 7 months 6 days | 15 years 6 months | 15 years 6 months
Gross Carrying Amount | $ 364,526 | $ 328,195 | $ 364,526 | $ 328,195 | $ 328,698
Accumulated Amortization | (122,284) | (100,736) | (122,284) | (100,736) | (110,905)
Net | 242,242 | 227,459 | 242,242 | 227,459 | 217,793
Indefinite-lived - trade names | 190,687 | 190,427 | 190,687 | 190,427 | 190,512
Total other intangible assets, gross | 555,213 | 518,622 | 555,213 | 518,622 | 519,210
Total other intangible assets, net | 432,929 | 417,886 | 432,929 | 417,886 | $ 408,305
Estimated amortization expense |  |  |  |  |
Amortization of other intangible assets | 6,200 | 4,900 | 11,100 | $ 9,600 |
Fiscal 2021 (remainder) | 12,700 |  | 12,700 |  |
Fiscal 2022 | 24,200 |  | 24,200 |  |
Fiscal 2023 | 22,400 |  | 22,400 |  |
Fiscal 2024 | 21,400 |  | 21,400 |  |
Fiscal 2025 | 19,800 |  | 19,800 |  |
Fiscal 2026 | 19,100 |  | 19,100 |  |
After fiscal 2026 | 122,600 |  | $ 122,600 |  |
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 | 18,276 | 18,227 | $ 18,276 | $ 18,227 | $ 18,257
Accumulated Amortization | (14,304) | (13,494) | (14,304) | (13,494) | (13,919)
Net | 3,972 | 4,733 | $ 3,972 | $ 4,733 | $ 4,338
Non-compete agreements |  |  |  |  |
Other Intangible Assets |  |  |  |  |
Weighted-Average Useful Life in Years |  |  | 5 years 6 months | 5 years 6 months | 5 years 6 months
Gross Carrying Amount | 6,908 | 6,865 | $ 6,908 | $ 6,865 | $ 6,892
Accumulated Amortization | (6,856) | (6,794) | (6,856) | (6,794) | (6,831)
Net | 52 | 71 | $ 52 | $ 71 | $ 61
Customer-related |  |  |  |  |
Other Intangible Assets |  |  |  |  |
Weighted-Average Useful Life in Years |  |  | 18 years 2 months 12 days | 18 years 2 months 12 days | 18 years 2 months 12 days
Gross Carrying Amount | 239,838 | 239,383 | $ 239,838 | $ 239,383 | $ 239,634
Accumulated Amortization | (55,407) | (40,555) | (55,407) | (40,555) | (48,005)
Net | 184,431 | 198,828 | $ 184,431 | $ 198,828 | $ 191,629
Developed technology |  |  |  |  |
Other Intangible Assets |  |  |  |  |
Weighted-Average Useful Life in Years |  |  | 7 years | 7 years 7 months 6 days | 7 years 7 months 6 days
Gross Carrying Amount | 87,551 | 51,854 | $ 87,551 | $ 51,854 | $ 51,995
Accumulated Amortization | (38,535) | (33,199) | (38,535) | (33,199) | (35,208)
Net | 49,016 | 18,655 | $ 49,016 | $ 18,655 | $ 16,787
Trade names |  |  |  |  |
Other Intangible Assets |  |  |  |  |
Weighted-Average Useful Life in Years |  |  | 15 years 3 months 18 days | 15 years 4 months 24 days | 15 years 4 months 24 days
Gross Carrying Amount | 7,563 | 7,476 | $ 7,563 | $ 7,476 | $ 7,530
Accumulated Amortization | (2,792) | (2,304) | (2,792) | (2,304) | (2,552)
Net | 4,771 | 5,172 | $ 4,771 | $ 5,172 | $ 4,978
Backlog and other |  |  |  |  |
Other Intangible Assets |  |  |  |  |
Weighted-Average Useful Life in Years |  |  | 7 months 6 days | 7 months 6 days | 7 months 6 days
Gross Carrying Amount | 4,390 | 4,390 | $ 4,390 | $ 4,390 | $ 4,390
Accumulated Amortization | (4,390) | (4,390) | (4,390) | (4,390) | (4,390)
Net | $ 0 | $ 0 | $ 0 | $ 0 | $ 0

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