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Income Taxes - Components of Income Tax (Detail) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Current:      
Current income taxes, federal $ 136.8 $ 110.0 $ 117.9
Current income taxes, foreign 29.9 38.1 52.4
Current income taxes, state 30.6 29.5 30.4
Total current 197.3 177.6 200.7
Deferred:      
Deferred income taxes, federal (10.0) 26.6 18.7
Deferred income taxes, foreign 3.0 1.5 (8.4)
Deferred income taxes, state (1.2) 6.1 3.4
Total deferred (8.2) 34.2 13.7
Total income tax provision $ 189.1 $ 211.8 $ 214.4