Income Taxes (Income (Loss) Before Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Income Tax Disclosure [Abstract]
United States	$ 35.8	$ 80.2	$ 126.7
Foreign	248.8	170.4	177.1
Income before Taxes	$ 284.6	$ 250.6	$ 303.8

Amount of income (loss) from continuing operations, including income (loss) from equity method investments, before deduction of income tax expense (benefit), and income (loss) attributable to noncontrolling interest.

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