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Income Taxes (Details 2) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Operating loss and tax credit carryforwards      
Net deferred tax assets (Liabilities) $ 27,590,000us-gaap_DeferredTaxAssetsLiabilitiesNet $ 31,336,000us-gaap_DeferredTaxAssetsLiabilitiesNet  
Provision for U.S. federal and state income taxes 0slab_ProvisionForUndistributedEarningsFromForeignSubsidiaries    
Income tax benefit reflected in earnings (11,019,000)us-gaap_IncomeTaxExpenseBenefit (12,208,000)us-gaap_IncomeTaxExpenseBenefit (22,800,000)us-gaap_IncomeTaxExpenseBenefit
Singapore      
Operating loss and tax credit carryforwards      
Income tax benefit reflected in earnings 2,000,000us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_StatementGeographicalAxis
= country_SG
(2,200,000)us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_StatementGeographicalAxis
= country_SG
(13,300,000)us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_StatementGeographicalAxis
= country_SG
The income tax benefit per diluted share (in dollars per share) $ 0.05slab_IncomeTaxBenefitPerDilutedShare
/ us-gaap_StatementGeographicalAxis
= country_SG
$ 0.05slab_IncomeTaxBenefitPerDilutedShare
/ us-gaap_StatementGeographicalAxis
= country_SG
$ (0.31)slab_IncomeTaxBenefitPerDilutedShare
/ us-gaap_StatementGeographicalAxis
= country_SG
State      
Operating loss and tax credit carryforwards      
Operating loss carryforwards 57,900,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
   
Research and development tax credit carryforwards 11,800,000us-gaap_TaxCreditCarryforwardAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
   
Cygnal Integrated Products, Silicon Clocks, Spectra Linear and Ember | Federal      
Operating loss and tax credit carryforwards      
Operating loss carryforwards 64,900,000us-gaap_OperatingLossCarryforwards
/ us-gaap_BusinessAcquisitionAxis
= slab_CygnalIntegratedProductsAndSiliconClocksIncSpectraLinearAndEmberMember
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
   
Research and development tax credit carryforwards 2,000,000us-gaap_TaxCreditCarryforwardAmount
/ us-gaap_BusinessAcquisitionAxis
= slab_CygnalIntegratedProductsAndSiliconClocksIncSpectraLinearAndEmberMember
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
   
Energy Micro | Foreign      
Operating loss and tax credit carryforwards      
Operating loss carryforwards $ 21,600,000us-gaap_OperatingLossCarryforwards
/ us-gaap_BusinessAcquisitionAxis
= slab_EnergyMicroMember
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember