Long-term Employee Benefits - Schedule of Allocation of Plan Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021
Defined Benefit Plan, Plan Assets, Level 3 Reconciliation [Line Items]
Fair value of plan assets at beginning of year	$ 24.7
Fair value of plan assets at end of year	24.1	$ 24.7
Level 3
Defined Benefit Plan, Plan Assets, Level 3 Reconciliation [Line Items]
Fair value of plan assets at beginning of year	4.8	3.6
Settlements	1.0	1.0
Foreign currency exchange rate changes	(0.3)	0.2
Fair value of plan assets at end of year	$ 5.6	$ 4.8