Long-term Employee Benefits - Summary of Changes in Projected Benefit Obligation and Plan Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Change in benefit obligation:
Actuarial loss (gain)	$ (2.1)	$ (2.6)	$ (4.0)
Change in plan assets:
Fair value of plan assets at beginning of year	24.7
Employer contributions	1.9
Fair value of plan assets at end of year	24.1	24.7
Amounts recognized on the consolidated balance sheets:
Other Assets	98.2	107.5
Defined Benefit Plans
Change in benefit obligation:
Projected benefit obligation at beginning of year	43.1	41.3
Service cost	2.6	2.4
Interest cost	0.4	0.3
Contributions by plan participants	0.0	0.0
Benefits paid	(0.5)	(0.2)
Actuarial loss (gain)	0.2	(1.5)
Settlements and amendments	(1.1)	(2.1)
Foreign currency exchange rate changes	(3.0)	2.9
Projected benefit obligation at end of year	41.6	43.1	41.3
Change in plan assets:
Fair value of plan assets at beginning of year	24.7	23.1
Actual return on plan assets	1.2	0.5
Employer contributions	2.2	2.0
Contributions by plan participants	0.0	0.0
Benefits paid	(0.5)	(0.2)
Settlements	(1.1)	(2.1)
Foreign currency exchange rate changes	(2.3)	1.4
Fair value of plan assets at end of year	24.1	24.7	$ 23.1
Funded status at end of year	(17.5)	(18.4)
Amounts recognized on the consolidated balance sheets:
Other Assets	0.8	0.7
Accrued compensation and employee related obligations	(0.3)	(0.2)
Employee related obligations	(18.0)	(18.9)
Net amount recognized	$ (17.5)	$ (18.4)