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Income Taxes - Components of Income Tax (Detail) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Income Tax Disclosure [Abstract]      
Current income taxes, Federal $ 165.8 $ 137.6 $ 115.5
Current income taxes, Foreign 40.8 41.2 27.6
Current income taxes, State 19.7 17.5 14.1
Total current income taxes 226.3 196.3 157.2
Deferred income taxes, Federal (8.7) 10.0 6.9
Deferred income taxes, Foreign 3.9 (8.2) 2.0
Deferred income taxes, State (0.3) 1.4 0.6
Total deferred income taxes (5.1) 3.2 9.5
Total income tax provision $ 221.2 $ 199.5 $ 166.7