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Income Taxes - Earnings (Loss) From Continuing Operations Before Taxes Per Jurisdiction (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Income Tax Disclosure [Abstract]      
Domestic $ (39.4) $ 27.5 $ (86.7)
Foreign (31.8) 158.3 (20.1)
Earnings (loss) before taxes and equity in net earnings (loss) of affiliate $ (71.2) $ 185.8 $ (106.8)