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Intangible Assets, Net (Details) - USD ($) $ in Millions | Oct. 31, 2021 | Jan. 31, 2021
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 1,612.6 | $ 1,247.2
Accumulated Amortization | (1,114.4) | (1,047.9)
Total intangible assets | 498.2 | 199.3
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 666.7 | 437.3
Accumulated Amortization | (367.8) | (345.1)
Total intangible assets | 298.9 | 92.2
Developed technologies |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 829.7 | 698.4
Accumulated Amortization | (647.6) | (609.8)
Total intangible assets | 182.1 | 88.6
Trade names and patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 115.9 | 111.5
Accumulated Amortization | (98.7) | (93.0)
Total intangible assets | 17.2 | $ 18.5
Other |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 0.3 |
Accumulated Amortization | (0.3) |
Total intangible assets | $ 0.0 |

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