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Income Taxes (Details 3)
 12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Federal statutory income tax rate to effective income tax rate for continuing operations      
U.S. federal statutory income tax rate (as a percent) 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
Increase (decrease) in taxes resulting from:      
State income taxes (as a percent) 1.00%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.40%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.20%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes
Non-U.S. tax rate differential and foreign tax credits (as a percent) (5.80%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (7.20%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (5.40%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential
Research credit (as a percent) 1.50%us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsResearch 3.80%us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsResearch  
Other, net (as a percent) 0.40%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments (0.30%)us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments (0.90%)us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Effective rate (as a percent) 29.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations 26.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations 30.90%us-gaap_EffectiveIncomeTaxRateContinuingOperations