Other Income (Expense), Net - Schedule of Other Income (Expense), Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Other Income and Expenses [Abstract]
Interest income	$ 0.2	$ 0.6	$ 1.1
Interest expense	(2.5)	(3.0)	(4.2)
Dividend income	2.7	2.4	2.5
Foreign exchange gains (losses)	(1.0)	3.3	(0.8)
Other income		0.1	0.2
Other expense	(3.0)
Other Income (Expense), Net	$ (3.6)	$ 3.4	$ (1.2)