Income Taxes - Provisions for Income Taxes (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Current expense:
Federal	$ 14.6	$ 0.7	$ 10.6
State	2.5	0.6	0.5
Foreign	15.0	8.3	12.5
Deferred expense (credit):
Federal	(17.1)	(51.6)	(5.8)
State	(1.8)	(4.4)	(2.0)
Foreign	0.1	0.9	1.2
Total provision for income taxes	$ 13.3	$ (45.5)	$ 17.0