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Software Development Costs (Details) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Research and Development [Abstract]      
Software development costs $ 467,158,000cern_SoftwareDevelopmentCosts $ 418,747,000cern_SoftwareDevelopmentCosts $ 319,828,000cern_SoftwareDevelopmentCosts
Capitalized software development costs (177,800,000)us-gaap_CapitalizedComputerSoftwareAdditions (174,649,000)us-gaap_CapitalizedComputerSoftwareAdditions (100,189,000)us-gaap_CapitalizedComputerSoftwareAdditions
Amortization of capitalized software development costs 103,447,000us-gaap_CapitalizedComputerSoftwareAmortization 94,688,000us-gaap_CapitalizedComputerSoftwareAmortization 81,731,000us-gaap_CapitalizedComputerSoftwareAmortization
Total software development expense 392,805,000us-gaap_ResearchAndDevelopmentExpenseSoftwareExcludingAcquiredInProcessCost 338,786,000us-gaap_ResearchAndDevelopmentExpenseSoftwareExcludingAcquiredInProcessCost 301,370,000us-gaap_ResearchAndDevelopmentExpenseSoftwareExcludingAcquiredInProcessCost
Accumulated capitalized computer software amortization $ 890,700,000us-gaap_CapitalizedComputerSoftwareAccumulatedAmortization $ 798,000,000us-gaap_CapitalizedComputerSoftwareAccumulatedAmortization