Income Taxes (Income (Loss) Before Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Income Tax Disclosure [Abstract]
United States	$ 221.2	$ 61.7	$ 78.1
Foreign	392.6	248.8	170.4
Income before Taxes	$ 613.8	$ 310.5	$ 248.5

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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