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Quarterly Financial Data (Unaudited) (Details) (USD $) Share data in Thousands, except Per Share data, unless otherwise specified | 3 Months Ended | 12 Months Ended
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Jan. 03, 2015 | Sep. 27, 2014 | Jun. 28, 2014 | Mar. 29, 2014 | Dec. 28, 2013 | Sep. 28, 2013 | Jun. 29, 2013 | Mar. 30, 2013 | Jan. 03, 2015 | Dec. 28, 2013 | Dec. 29, 2012
Unaudited Interim Condensed Consolidated Financial Statements and Estimates |  |  |  |  |  |  |  |  |  |  |
Revenues | $ 78,459,000 us-gaap_SalesRevenueServicesNet | $ 73,483,000 us-gaap_SalesRevenueServicesNet | $ 78,184,000 us-gaap_SalesRevenueServicesNet | $ 76,245,000 us-gaap_SalesRevenueServicesNet | $ 75,672,000 us-gaap_SalesRevenueServicesNet | $ 74,427,000 us-gaap_SalesRevenueServicesNet | $ 65,203,000 us-gaap_SalesRevenueServicesNet | $ 63,130,000 us-gaap_SalesRevenueServicesNet | $ 306,371,000 us-gaap_SalesRevenueServicesNet | $ 278,432,000 us-gaap_SalesRevenueServicesNet | $ 270,390,000 us-gaap_SalesRevenueServicesNet
Gross profit | 25,598,000 us-gaap_GrossProfit | 24,066,000 us-gaap_GrossProfit | 25,515,000 us-gaap_GrossProfit | 24,379,000 us-gaap_GrossProfit | 24,044,000 us-gaap_GrossProfit | 23,850,000 us-gaap_GrossProfit | 20,161,000 us-gaap_GrossProfit | 21,115,000 us-gaap_GrossProfit | 99,558,000 us-gaap_GrossProfit | 89,170,000 us-gaap_GrossProfit | 88,009,000 us-gaap_GrossProfit
Income from operations | 6,124,000 us-gaap_OperatingIncomeLoss | 5,795,000 us-gaap_OperatingIncomeLoss | 6,493,000 us-gaap_OperatingIncomeLoss | 5,629,000 us-gaap_OperatingIncomeLoss | 5,459,000 us-gaap_OperatingIncomeLoss | 6,114,000 us-gaap_OperatingIncomeLoss | 3,170,000 us-gaap_OperatingIncomeLoss | 3,774,000 us-gaap_OperatingIncomeLoss | 24,041,000 us-gaap_OperatingIncomeLoss | 18,517,000 us-gaap_OperatingIncomeLoss | (57,810,000)us-gaap_OperatingIncomeLoss
Income before provision for income taxes | 6,022,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 5,575,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 6,334,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 5,384,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 5,221,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 5,952,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 3,368,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 3,377,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 23,315,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | 17,918,000 us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments | (58,023,000)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Net income | 3,743,000 us-gaap_ProfitLoss | 3,189,000 us-gaap_ProfitLoss | 3,167,000 us-gaap_ProfitLoss | 3,308,000 us-gaap_ProfitLoss | 3,716,000 us-gaap_ProfitLoss | 3,333,000 us-gaap_ProfitLoss | 1,351,000 us-gaap_ProfitLoss | 2,835,000 us-gaap_ProfitLoss | 13,407,000 us-gaap_ProfitLoss | 11,235,000 us-gaap_ProfitLoss | (52,843,000)us-gaap_ProfitLoss
Net (income) loss attributable to noncontrolling interest, net of tax | 73,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 35,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 21,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 102,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 6,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | (63,000)us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 58,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 134,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 231,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | 135,000 us-gaap_NetIncomeLossAttributableToNoncontrollingInterest | (147,000)us-gaap_NetIncomeLossAttributableToNoncontrollingInterest
Net income attributable to CRA International, Inc. | 3,816,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 3,224,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 3,188,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 3,410,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 3,722,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 3,270,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 1,409,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 2,969,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 13,638,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | 11,370,000 us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic | (52,990,000)us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Basic net income (loss) per share (in dollars per share) | $ 0.41 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 0.33 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 0.32 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 0.34 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 0.37 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 0.32 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 0.14 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 0.30 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 1.40 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ 1.13 us-gaap_IncomeLossFromContinuingOperationsPerBasicShare | $ (5.21)us-gaap_IncomeLossFromContinuingOperationsPerBasicShare
Diluted net income (loss) per share (in dollars per share) | $ 0.40 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 0.33 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 0.32 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 0.34 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 0.37 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 0.32 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 0.14 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 0.29 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 1.38 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ 1.12 us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare | $ (5.21)us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare
Deferred tax assets valuation error correction |  |  | $ 800,000 crai_ValuationOfDeferredTaxAssetsErrorCorrection |  |  |  |  |  |  |  |
Weighted average number of shares outstanding: |  |  |  |  |  |  |  |  |  |  |
Basic (in shares) | 9,344 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 9,729 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 9,919 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 10,029 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 10,071 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 10,093 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 10,100 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 9,994 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 9,747 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 10,084 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic | 10,167 us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Diluted (in shares) | 9,560 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 9,919 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,026 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,108 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,148 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,192 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,188 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,084 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 9,897 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,173 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding | 10,167 us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding

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