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Other Income (Expense), Net - Schedule of Other Income (Expense), Net (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Other Income and Expenses [Abstract]      
Interest income $ 2.3 $ 0.2 $ 0.6
Interest expense (2.1) (2.5) (3.0)
Dividend income 0.0 2.7 2.4
Foreign exchange gains (losses) 4.8 (1.0) 3.3
Other income     0.1
Other expense (3.4) (3.0)  
Other Income (Expense), Net 1.6 (3.6) 3.4
Gain on foreign currency remeasurement $ 5.5 $ 0.0 $ 0.0