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Indebtedness (Details) (USD $)
3 Months Ended
Apr. 04, 2015
Jan. 29, 2015
Jan. 03, 2015
Debt Instrument [Line Items]      
Debt and Capital Lease Obligations $ 626,959,000us-gaap_DebtAndCapitalLeaseObligations   $ 130,328,000us-gaap_DebtAndCapitalLeaseObligations
Debt Issuance Cost (792,000)us-gaap_DeferredFinanceCostsNoncurrentNet   0us-gaap_DeferredFinanceCostsNoncurrentNet
Long-term Debt and Capital Lease Obligations, Net of Debt Issuance Costs 626,167,000cern_LongtermDebtandCapitalLeaseObligationsNetofDebtIssuanceCosts   130,328,000cern_LongtermDebtandCapitalLeaseObligationsNetofDebtIssuanceCosts
Long-term Debt and Capital Lease Obligations, Current (61,828,000)us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent   (67,460,000)us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent
Long-term Debt and Capital Lease Obligations 564,339,000us-gaap_LongTermDebtAndCapitalLeaseObligations   62,868,000us-gaap_LongTermDebtAndCapitalLeaseObligations
Note Agreement, 5.54% [Member]      
Debt Instrument [Line Items]      
Debt and Capital Lease Obligations 13,853,000us-gaap_DebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= cern_NoteAgreement554Member
  14,233,000us-gaap_DebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= cern_NoteAgreement554Member
Senior Notes [Member]      
Debt Instrument [Line Items]      
Debt and Capital Lease Obligations 500,000,000us-gaap_DebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorNotesMember
  0us-gaap_DebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorNotesMember
Debt Instrument, Face Amount   500,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorNotesMember
 
Debt Instrument, Restrictive Covenants The Master Note Purchase Agreement contains certain leverage and interest coverage ratio covenants and provides certain restrictions on our ability to borrow, incur liens, sell assets, and other customary terms    
Series 2015-A [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Face Amount   225,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= cern_Series2015AMember
 
Debt Instrument, Interest Rate, Stated Percentage   3.18%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= cern_Series2015AMember
 
Debt Instrument, Maturity Date Feb. 15, 2022    
Debt Instrument, Frequency of Periodic Payment payable semiannually    
Debt Instrument, Date of First Required Payment Aug. 15, 2015    
Series 2015-B [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Face Amount   200,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= cern_Series2015BMember
 
Debt Instrument, Interest Rate, Stated Percentage   3.58%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= cern_Series2015BMember
 
Debt Instrument, Maturity Date Feb. 14, 2025    
Series 2015-C [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Face Amount   75,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= cern_Series2015CMember
 
Debt Instrument, Maturity Date Feb. 15, 2022    
Debt Instrument, Frequency of Periodic Payment payable quarterly    
Debt Instrument, Date of First Required Payment May 15, 2015    
Capital Lease Obligations [Member]      
Debt Instrument [Line Items]      
Debt and Capital Lease Obligations $ 113,106,000us-gaap_DebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= us-gaap_CapitalLeaseObligationsMember
  $ 116,095,000us-gaap_DebtAndCapitalLeaseObligations
/ us-gaap_DebtInstrumentAxis
= us-gaap_CapitalLeaseObligationsMember
London Interbank Offered Rate (LIBOR) [Member] | Series 2015-C [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Description of Variable Rate Basis Adjusted LIBOR Rate    
Debt Instrument, Interest Rate During Period 1.26%us-gaap_DebtInstrumentInterestRateDuringPeriod
/ us-gaap_DebtInstrumentAxis
= cern_Series2015CMember
/ us-gaap_VariableRateAxis
= us-gaap_LondonInterbankOfferedRateLIBORMember