Long-term Employee Benefits - Other Postemployment Benefits (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Change in benefit obligation:
Actuarial (gain) loss	$ (2.1)	$ (2.6)	$ (4.0)
Other Postemployment Benefits
Change in benefit obligation:
Projected benefit obligation at beginning of year	22.0	20.3
Service cost	0.7	0.8
Interest cost	0.2	0.4	0.6
Benefits paid	(0.7)	(0.6)
Actuarial (gain) loss	0.0	1.1
Projected benefit obligation at end of year	22.1	22.0	$ 20.3
Amounts recognized on the consolidated balance sheets:
Accrued compensation and employee related obligations	(2.9)	(2.2)
Employee related obligations	(19.2)	(19.8)
Net amount recognized	$ (22.1)	$ (22.0)