Goodwill and Other Intangible Assets, Net - Schedule of the Components of Other Intangible Assets (Details) - USD ($) $ in Millions |
Jul. 31, 2026 |
Oct. 31, 2025 |
Aug. 01, 2025 |
|---|---|---|---|
| Other Intangible Assets | |||
| Weighted-Average Useful Life in Years | 13 years 4 months 24 days | 13 years 7 months 6 days | 13 years 8 months 12 days |
| Gross Carrying Amount | $ 504.2 | $ 446.8 | $ 448.0 |
| Accumulated Amortization | (274.6) | (247.1) | (239.9) |
| Net | 229.6 | 199.7 | 208.1 |
| Indefinite-lived - trade names | 209.9 | 190.6 | 190.5 |
| Total other intangible assets, gross | 714.1 | 637.4 | 638.5 |
| Total other intangible assets, net | $ 439.5 | $ 390.3 | $ 398.6 |
| Patents | |||
| Other Intangible Assets | |||
| Weighted-Average Useful Life in Years | 9 years 6 months | 9 years 6 months | 9 years 6 months |
| Gross Carrying Amount | $ 10.1 | $ 10.1 | $ 10.1 |
| Accumulated Amortization | (9.6) | (9.3) | (9.1) |
| Net | $ 0.5 | $ 0.8 | $ 1.0 |
| Customer-related | |||
| Other Intangible Assets | |||
| Weighted-Average Useful Life in Years | 15 years 8 months 12 days | 16 years | 16 years |
| Gross Carrying Amount | $ 365.3 | $ 320.0 | $ 320.0 |
| Accumulated Amortization | (163.7) | (147.6) | (142.9) |
| Net | $ 201.6 | $ 172.4 | $ 177.1 |
| Developed technology | |||
| Other Intangible Assets | |||
| Weighted-Average Useful Life in Years | 6 years 9 months 18 days | 7 years | 7 years |
| Gross Carrying Amount | $ 117.7 | $ 107.1 | $ 107.1 |
| Accumulated Amortization | (92.7) | (83.3) | (80.7) |
| Net | $ 25.0 | $ 23.8 | $ 26.4 |
| Trade names | |||
| Other Intangible Assets | |||
| Weighted-Average Useful Life in Years | 12 years 10 months 24 days | 12 years 10 months 24 days | 13 years 8 months 12 days |
| Gross Carrying Amount | $ 9.5 | $ 9.6 | $ 10.8 |
| Accumulated Amortization | (7.0) | (6.9) | (7.2) |
| Net | $ 2.5 | $ 2.7 | $ 3.6 |
| Backlog and other | |||
| Other Intangible Assets | |||
| Weighted-Average Useful Life in Years | 6 months | ||
| Gross Carrying Amount | $ 1.6 | ||
| Accumulated Amortization | (1.6) | ||
| Net | $ 0.0 |
| X | ||||||||||
- Definition Useful life of finite-lived intangible asset, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Excludes goodwill and capitalized cost for software to be sold, leased, or marketed. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Amount of accumulated amortization of finite-lived intangible asset. Excludes goodwill and capitalized cost for software to be sold, leased, or marketed. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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- Definition Amount, before accumulated amortization, of finite-lived intangible asset. Excludes goodwill and capitalized cost for software to be sold, leased, or marketed. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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- Definition Amount, after accumulated amortization, of finite-lived intangible asset. Excludes goodwill and capitalized cost for software to be sold, leased, or marketed. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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- Definition Carrying amount (original costs adjusted for previously recognized amortization and impairment) as of the balance sheet date for the rights acquired through registration of a trade name to gain or protect exclusive use thereof for a projected indefinite period of benefit. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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- Definition Amount, before accumulated amortization, of finite- and indefinite-lived intangible assets and capitalized cost for software to be sold, leased, or marketed. Excludes goodwill. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Amount, after accumulated amortization, of finite- and indefinite-lived intangible assets and capitalized cost for software to be sold, leased, or marketed. Excludes goodwill. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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