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Goodwill and Intangible Assets (Definite-Lived Intangible Assets) (Details) - USD ($) $ in Millions | Oct. 28, 2023 | Jan. 28, 2023 | Oct. 29, 2022
--- | --- | --- | ---
Acquired Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount | $ 532.0 | $ 532.0 | $ 532.0
Accumulated Amortization | $ 399.0 | 343.0 | 322.0
Weighted-Average Useful Life Remaining | 8 years 4 months 24 days |  |
Customer Relationships [Member] |  |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount | $ 360.0 | 360.0 | 360.0
Accumulated Amortization | $ 274.0 | 236.0 | 222.0
Weighted-Average Useful Life Remaining | 10 years 3 months 18 days |  |
Tradenames [Member] |  |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount | $ 108.0 | 108.0 | 108.0
Accumulated Amortization | $ 66.0 | 56.0 | 52.0
Weighted-Average Useful Life Remaining | 5 years |  |
Developed Technology [Member] |  |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount | $ 64.0 | 64.0 | 64.0
Accumulated Amortization | $ 59.0 | $ 51.0 | $ 48.0
Weighted-Average Useful Life Remaining | 4 years |  |

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