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

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- Definition Amount of transactions with related party during the financial reporting period. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 850 -SubTopic 10 -Section 50 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=6457730&loc=d3e39622-107864 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 850 -SubTopic 10 -Section 50 -Paragraph 3 -URI http://asc.fasb.org/extlink&oid=6457730&loc=d3e39603-107864 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 850 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6457730&loc=d3e39549-107864 + Details
Name: | us-gaap_RelatedPartyTransactionAmountsOfTransaction
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | us-gaap_RelatedPartyTransactionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration