Other Expense, Net - Schedule of Interest Expense (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Other Income and Expenses [Abstract]
Foreign exchange losses, net	$ 8.7	$ 1.5	$ 0.9
Proceeds from legal settlements	0.0	(1.9)	0.0
(Gain) loss on sale of business	(3.8)	(0.6)	6.0
Transition services agreement service income	0.0	0.0	(0.3)
Loss on extinguishment of long-term debt	27.2	19.7	0.0
Other gains, net	(4.2)	0.0	(2.9)
Total	$ 27.9	$ 18.7	$ 3.7