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Share-Based Compensation (Narrative) (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Shares available for awards 8.1us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant  
Typical vesting period for option awards 5 years  
Contractual term of options 10 years  
Associate stock purchase plan discount 15.00%cern_AssociateStockPurchasePlanDiscountOnCompanyStock  
Authorized preferred shares 1.0us-gaap_PreferredStockSharesAuthorized  
Par value per share of preferred stock $ 0.01us-gaap_PreferredStockParOrStatedValuePerShare  
Stock Repurchase Program, Authorized Amount $ 317.0us-gaap_StockRepurchaseProgramAuthorizedAmount $ 170.0us-gaap_StockRepurchaseProgramAuthorizedAmount
Stock Repurchased During Period, Shares 4.1us-gaap_StockRepurchasedDuringPeriodShares 3.6us-gaap_StockRepurchasedDuringPeriodShares
Stock Repurchase Program, Increase in Authorized Amount 100.0cern_StockRepurchaseProgramIncreaseinAuthorizedAmount  
Payments for Repurchase of Common Stock, Excluding Transaction Costs 217.0 170.0
Stock Repurchase Program, Remaining Authorized Repurchase Amount 100.0us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount  
Stock Options [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total unrecognized compensation cost 136.1us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Period of recognition for remaining share-based compensation expense 3 years 1 month 5 days  
Restricted Stock [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total unrecognized compensation cost $ 11.0us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
 
Period of recognition for remaining share-based compensation expense 1 year 3 months 15 days