Other Expense, Net - Schedule of Interest Expense (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Other Income and Expenses [Abstract]
Foreign exchange losses, net	$ 15.1	$ 8.7	$ 1.5
Proceeds from legal settlements	0.0	0.0	(1.9)
Gain on sale of business	(0.8)	(3.8)	(0.6)
Loss on extinguishment of long-term debt	0.0	27.2	19.7
Other gains, net	(5.5)	(4.2)	0.0
Total	$ 8.8	$ 27.9	$ 18.7