Income Taxes - Income Tax Expense (Benefit) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Current provision (benefit)
Federal	$ 91.2	$ 47.2	$ 43.0
State	21.4	14.8	10.8
Foreign	57.1	47.8	57.5
Total current provision (benefit)	169.7	109.8	111.3
Deferred provision (benefit)
Federal	(78.8)	(39.0)	(39.7)
State	(4.6)	0.3	(0.1)
Foreign	(14.0)	48.1	17.0
Total deferred provision (benefit)	(97.4)	9.4	(22.8)
Provision (benefit) for income taxes	$ 72.3	$ 119.2	$ 88.5