Income Taxes (Provision for Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Current
Federal	$ 101.6	$ 18.2	$ 7.1
State	10.2	10.6	2.7
Foreign	87.2	54.6	63.5
Total	199.0	83.4	73.3
Deferred
Federal	(50.7)	6.7	(2.5)
State	(12.1)	(2.0)	(0.3)
Foreign	(17.3)	(13.4)	(14.2)
Total	(80.1)	(8.7)	(17.0)
Total	$ 118.9	$ 74.7	$ 56.3

Amount of current federal tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, current national tax expense (benefit) for non-US (United States of America) jurisdiction.

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