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Income Taxes - Components of Income Tax (Detail) - USD ($) $ in Millions | 12 Months Ended
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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

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