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Income Taxes - Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Current:
Federal	$ 29.8	$ 14.1	$ 18.4
State	8.3	4.0	6.0
Foreign	0.3	0.8	0.1
Current provision	38.5	18.8	24.5
Deferred:
Federal	(13.1)	(0.7)	(9.1)
State	(2.8)	0.4	(2.4)
Foreign	0.0	(0.1)	(0.6)
Deferred provision	(15.9)	(0.4)	(12.1)
Total income tax expense	$ 22.5	$ 18.5	$ 12.5

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