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Goodwill and Other Intangible Assets - Schedule of Goodwill and Other Intangible Assets (Details) - USD ($) $ in Millions | Dec. 31, 2022 | Jan. 01, 2022 | Jan. 02, 2021
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Goodwill and Intangible Assets Disclosure [Abstract] |  |  |
Goodwill, net | $ 305.9 | $ 297.3 | $ 292.4
Definite-lived intangible assets, net | 118.4 | 147.6 |
Indefinite-lived intangible assets | 15.5 | 26.5 |
Total goodwill and other intangible assets, net | $ 439.8 | $ 471.5 |

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