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Taxes (Reconciliation of U.S. Federal Statutory Income Tax Rate) (Details)
12 Months Ended
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Income Tax Disclosure [Abstract]      
Tax at statutory rate 35.00% 35.00% 35.00%
State, net of federal tax benefit (as a percent) 0.50% 0.90% 0.90%
Foreign rate differential (as a percent) (15.60%) (12.30%) (12.50%)
U.S. tax on foreign income (as a percent) 4.30% 6.30% 5.90%
Income tax contingencies (as a percent) 0.90% 0.70% 0.00%
Valuation allowances (as a percent) 1.40% (0.30%) 0.90%
Other (as a percent) (0.30%) 0.40% 0.70%
Provision for income taxes (as a percent) 26.20% 30.70% 30.90%