Income Taxes - Components of Income Tax (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Current:
Current income taxes, federal	$ 152.9	$ 136.8	$ 110.0
Current income taxes, foreign	48.2	29.9	38.1
Current income taxes, state	37.5	30.6	29.5
Total current	238.6	197.3	177.6
Deferred:
Deferred income taxes, federal	6.1	(10.0)	26.6
Deferred income taxes, foreign	(0.3)	3.0	1.5
Deferred income taxes, state	2.6	(1.2)	6.1
Total deferred	8.4	(8.2)	34.2
Total income tax provision	$ 247.0	$ 189.1	$ 211.8