Income Taxes - Reconciliation of Income Tax Expense (Benefit) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Income Tax [Line Items]
U.S. federal statutory expense	$ 46.9	$ 65.8	$ 61.9
State and local income taxes, net	8.1	10.6	9.1
Excess tax benefits	(4.8)	(8.5)	(16.5)
Other, net	(0.4)	(0.2)	1.6
Income tax expense	49.8	67.7	56.1
ASU 2016-09
Income Tax [Line Items]
State and local income taxes, net	$ (1.1)	$ (1.9)	$ (3.7)