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Fair Value of Financial Instruments (Details 3) (Contingent consideration, Monte Carlo simulation)
12 Months Ended
Jan. 03, 2015
Quantitative information for Level 3 fair value measurements liabilities  
Expected revenue volatility (as a percent) 20.00%us-gaap_FairValueAssumptionsExpectedVolatilityRate
Low end of range
 
Quantitative information for Level 3 fair value measurements liabilities  
Expected revenue growth rate (as a percent) 35.60%us-gaap_FairValueInputsLongTermRevenueGrowthRate
/ us-gaap_FairValueByLiabilityClassAxis
= slab_ContingentConsiderationMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_ValuationTechniqueAxis
= slab_MonteCarloSimulationMember
Expected term 0 years
Estimated discount rate (as a percent) 0.10%us-gaap_FairValueInputsDiscountRate
/ us-gaap_FairValueByLiabilityClassAxis
= slab_ContingentConsiderationMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_ValuationTechniqueAxis
= slab_MonteCarloSimulationMember
High end of range
 
Quantitative information for Level 3 fair value measurements liabilities  
Expected revenue growth rate (as a percent) 69.10%us-gaap_FairValueInputsLongTermRevenueGrowthRate
/ us-gaap_FairValueByLiabilityClassAxis
= slab_ContingentConsiderationMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_ValuationTechniqueAxis
= slab_MonteCarloSimulationMember
Expected term 4 years
Estimated discount rate (as a percent) 1.70%us-gaap_FairValueInputsDiscountRate
/ us-gaap_FairValueByLiabilityClassAxis
= slab_ContingentConsiderationMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_ValuationTechniqueAxis
= slab_MonteCarloSimulationMember