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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
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