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Income Taxes - Components of Income Tax (Detail) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Current:      
Current income taxes, federal $ 185.4 $ 152.9 $ 136.8
Current income taxes, foreign 45.2 48.2 29.9
Current income taxes, state 48.4 37.5 30.6
Total current 279.0 238.6 197.3
Deferred:      
Deferred income taxes, federal (8.5) 6.1 (10.0)
Deferred income taxes, foreign (2.1) (0.3) 3.0
Deferred income taxes, state 0.3 2.6 (1.2)
Total deferred (10.3) 8.4 (8.2)
Total income tax provision $ 268.7 $ 247.0 $ 189.1