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Income Taxes (Details) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Operating Loss Carryforwards [Line Items]      
Deferred Tax Assets, Valuation Allowance $ 776,000us-gaap_DeferredTaxAssetsValuationAllowance $ 896,000us-gaap_DeferredTaxAssetsValuationAllowance  
Cumulative undistributed earnings of foreign subsidiaries 99,000,000us-gaap_UndistributedEarningsOfForeignSubsidiaries    
Effective tax rate 32.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 32.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 32.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Federal statutory income tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate    
Change in unrecognized tax benefits in next 12 months We anticipate that it is reasonably possible that our unrecognized tax benefits will decrease by up to $4 million within the next twelve months due to the potential settlement of examinations and lapse of the statutes of limitations in various taxing jurisdictions.    
Last year examined Our federal returns have been examined by the Internal Revenue Service through 2009. Our federal returns for 2010 through 2012 are currently under examination by the Internal Revenue Service. We have various state and foreign returns under examination.    
Accrued interest related to unrecognized tax benefits 600,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued 200,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued  
Internal Revenue Service (IRS) [Member]      
Operating Loss Carryforwards [Line Items]      
Operating Loss Carryforwards 5,500,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_InternalRevenueServiceIRSMember
   
Operating Loss Carryforwards, Expiration Dates Dec. 31, 2020    
Foreign Tax Authority [Member] | Expiration Date 2024 [Member] [Member]      
Operating Loss Carryforwards [Line Items]      
Operating Loss Carryforwards 400,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
/ us-gaap_TaxCreditCarryforwardAxis
= cern_ExpirationDate2024Member
   
Operating Loss Carryforwards, Expiration Dates Dec. 31, 2024    
Foreign Tax Authority [Member] | Expiration Date 2033 [Member]      
Operating Loss Carryforwards [Line Items]      
Operating Loss Carryforwards 700,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
/ us-gaap_TaxCreditCarryforwardAxis
= cern_ExpirationDate2033Member
   
Operating Loss Carryforwards, Expiration Dates Dec. 31, 2033    
Foreign Tax Authority [Member] | No Expiration Date [Member]      
Operating Loss Carryforwards [Line Items]      
Operating Loss Carryforwards 46,800,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
/ us-gaap_TaxCreditCarryforwardAxis
= cern_NoExpirationDateMember
   
State and Local Jurisdiction [Member]      
Operating Loss Carryforwards [Line Items]      
Operating Loss Carryforwards 800,000us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
   
Operating Loss Carryforwards, Expiration Dates Dec. 31, 2034    
Tax Credit Carryforward, Amount $ 16,000,000us-gaap_TaxCreditCarryforwardAmount
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
   
Tax Credit Carryforward, Expiration Date Dec. 31, 2030