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COMMON STOCK (Share Repurchases) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Sep. 28, 2013
Jan. 03, 2015
Dec. 28, 2013
Equity [Abstract]      
Stock repurchase, authorized amount $ 300us-gaap_StockRepurchaseProgramAuthorizedAmount    
Stock repurchase, additional authorized amount 400cri_StockRepurchaseProgramAdditionalAuthorizedAmount    
Remaining capacity under authorization   185.1us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount  
Stock repurchased and retired   1,111,899us-gaap_StockRepurchasedDuringPeriodShares 816,402us-gaap_StockRepurchasedDuringPeriodShares
Average price of repurchased and retired shares   $ 73.84cri_TreasuryStockAcquiredAverageCostPerShares $ 66.31cri_TreasuryStockAcquiredAverageCostPerShares
Cost of repurchased and retired shares   $ 82.1cri_CumulativeStockRepurchasedAndRetiredValue $ 54.1cri_CumulativeStockRepurchasedAndRetiredValue