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Share-Based Compensation (Details) (USD $)	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Share-Based Compensation
Compensation expense	$ 5,300,000us-gaap_AllocatedShareBasedCompensationExpense	$ 2,900,000us-gaap_AllocatedShareBasedCompensationExpense	$ 4,900,000us-gaap_AllocatedShareBasedCompensationExpense
Weighted average fair market value (in dollars per share)	$ 12.24us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
Options granted (in shares)	178,608us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
Non Employee Stock Options
Share-Based Compensation
Non-employee compensation expense	$ 271,000crai_IssuanceOfStockAndWarrantsForServicesOrClaimsAfterTax / us-gaap_AwardTypeAxis = crai_NonEmployeeStockOptionMember	$ 147,000crai_IssuanceOfStockAndWarrantsForServicesOrClaimsAfterTax / us-gaap_AwardTypeAxis = crai_NonEmployeeStockOptionMember	$ 79,000crai_IssuanceOfStockAndWarrantsForServicesOrClaimsAfterTax / us-gaap_AwardTypeAxis = crai_NonEmployeeStockOptionMember
Options
Share-Based Compensation
Weighted average fair market value (in dollars per share)	$ 12.24us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = crai_EmployeeAndDirectorsStockOptionsMember	$ 7.77us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = crai_EmployeeAndDirectorsStockOptionsMember
Weighted average assumptions
Risk-free interest rate (as a percent)	1.60%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate / us-gaap_AwardTypeAxis = crai_EmployeeAndDirectorsStockOptionsMember	1.40%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate / us-gaap_AwardTypeAxis = crai_EmployeeAndDirectorsStockOptionsMember
Expected volatility (as a percent)	43.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate / us-gaap_AwardTypeAxis = crai_EmployeeAndDirectorsStockOptionsMember	47.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate / us-gaap_AwardTypeAxis = crai_EmployeeAndDirectorsStockOptionsMember
Weighted average expected life (in years)	5 years	5 years

X

- Definition

After tax fair value of share-based compensation granted to nonemployees as payment for services rendered or acknowledged claims.

+ References

No definition available.

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- Definition

Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 718

-SubTopic 10

-Section 50

-Paragraph 1

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-Number Topic 14

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- Definition

Expected term of share-based compensation awards, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

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-Publisher FASB

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-Subparagraph (SAB TOPIC 14.D.2)

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The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

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- Definition

The risk-free interest rate assumption that is used in valuing an option on its own shares.

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- Definition

Gross number of share options (or share units) granted during the period.

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No definition available.

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- Definition

The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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