Income Taxes (Provision for Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Current
Federal	$ 7.1	$ 1.8	$ 4.5
State	2.7	1.1	0.8
Foreign	63.5	35.9	37.9
Total	73.3	38.8	43.2
Deferred
Federal	(2.0)	20.4	16.6
State	(0.3)	2.6	2.1
Foreign	(14.2)	(0.6)	(5.5)
Total	(16.5)	22.4	13.2
Total	$ 56.8	$ 61.2	$ 56.4