Income Taxes - Provision for Income Taxes From Continuing Operations (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Current tax expense:
U.S. federal	$ 1.0	$ 1.3	$ 1.0
U.S. state and local	2.5	1.4	2.1
Foreign	9.9	61.5	10.4
Total current	13.4	64.2	13.5
Deferred tax (benefit) expense:
U.S. federal	(36.8)	(2.5)	(11.9)
U.S. state and local	(3.6)	0.7	(0.7)
Foreign	15.5	(70.3)	34.2
Total deferred	(24.9)	(72.1)	21.6
Total provision	$ (11.5)	$ (7.9)	$ 35.1