Income Taxes - Schedule of Reconciliation of Unrecognized Tax Benefits (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Balance at beginning of period	$ 6.0	$ 4.1
Increase in prior year tax positions	0.0	0.6
Decrease in prior year tax positions	(0.2)	0.0
Increase in current year tax positions	2.4	1.9
Decrease in current year tax positions	(0.3)	0.0
Lapse in statute of limitations	(1.0)	(0.6)
Balance at end of period	$ 6.9	$ 6.0