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Income Taxes (Unrecognized Tax Benefits) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2017
Jan. 03, 2016
Dec. 28, 2014
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Beginning of year $ 28.8 $ 32.3 $ 35.4
Increase in prior year tax positions 1.6 2.1 4.3
Increase for tax positions taken during the current period 1.6 1.6 0.9
Reduction related to settlements with taxing authorities 0.0 (1.5) (2.8)
Reduction related to lapse of the statute of limitations (7.5) (5.0) (4.8)
Impact of exchange rate changes 0.0 (0.7) (0.7)
End of year $ 24.5 $ 28.8 $ 32.3