Long-term Employee Benefits - Summary of Net Periodic Benefit Costs (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Changes in plan assets and benefit obligations recognized in other comprehensive loss:
Total recognized in net periodic benefit cost and other comprehensive loss	$ (1.2)	$ (1.4)	$ (0.2)
Defined Benefit Plans
Net periodic benefit cost:
Service cost	2.6	2.4	2.2
Interest cost	0.4	0.3	0.5
Expected return on plan assets	(0.7)	(0.7)	(0.6)
Amortization of net loss	(0.2)	(0.1)	(0.4)
Settlement loss (gain)	0.2	0.2	(0.7)
Net periodic benefit cost	2.3	2.1	1.0
Changes in plan assets and benefit obligations recognized in other comprehensive loss:
Net actuarial (gain) loss	(0.3)	(1.4)	1.5
Net translation adjustment	(0.2)	0.2	0.0
Amortization of gain (loss)	0.0	(0.1)	1.0
Total loss (income) recognized in other comprehensive loss	(0.5)	(1.3)	2.5
Total recognized in net periodic benefit cost and other comprehensive loss	1.8	0.8	3.5
Other Postemployment Benefits
Net periodic benefit cost:
Service cost	0.7	0.7	0.8
Interest cost	0.2	0.4	0.6
Amortization of prior service cost	0.0	0.0	0.0
Net periodic benefit cost	0.9	1.1	1.4
Changes in plan assets and benefit obligations recognized in other comprehensive loss:
Net actuarial (gain) loss	0.0	1.1	0.7
Total loss (income) recognized in other comprehensive loss	0.0	1.1	0.7
Total recognized in net periodic benefit cost and other comprehensive loss	$ 0.9	$ 2.2	$ 2.1