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Related-Party Transactions (Details) (Shareholders, USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Shareholders
     
Related-Party Transactions      
Payments for consulting services $ 10.2us-gaap_RelatedPartyTransactionAmountsOfTransaction
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= crai_ShareholdersMember
$ 6.1us-gaap_RelatedPartyTransactionAmountsOfTransaction
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= crai_ShareholdersMember
$ 5.4us-gaap_RelatedPartyTransactionAmountsOfTransaction
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= crai_ShareholdersMember