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Net Income per Share (Details 2) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended
Apr. 04, 2015
Mar. 29, 2014
Oct. 23, 2014
Feb. 13, 2014
Aug. 10, 2012
Share Repurchase Program          
Share repurchase program, amount authorized to be repurchased     $ 30.0us-gaap_StockRepurchaseProgramAuthorizedAmount1 $ 15.0us-gaap_StockRepurchaseProgramAuthorizedAmount1 $ 5.0us-gaap_StockRepurchaseProgramAuthorizedAmount1
Number of shares repurchased and retired 144,900us-gaap_StockRepurchasedAndRetiredDuringPeriodShares 95,600us-gaap_StockRepurchasedAndRetiredDuringPeriodShares      
Average repurchase price per share (in dollars per share) $ 31.33crai_StockRepurchaseDuringPeriodAverageCostPerShare $ 22.25crai_StockRepurchaseDuringPeriodAverageCostPerShare      
Amount available for future repurchases $ 16.4us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1