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Income Taxes - Current and Deferred Provision (Benefit) for Income Taxes (Detail) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Current:
Federal	$ 48.7	$ 38.1	$ 13.9
State	6.1	7.1	6.4
Foreign	34.4	14.7	8.1
Subtotal	89.2	59.9	28.4
Deferred:
Federal	(20.5)	(4.9)	1.3
State	(8.7)	(6.1)	(6.2)
Foreign	(10.1)	(4.1)	(0.1)
Subtotal	(39.3)	(15.1)	(5.0)
Total	$ 49.9	$ 44.8	$ 23.4

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