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Related-Party Transactions
12 Months Ended
Jan. 02, 2021
Related Party Transactions [Abstract]  
Related-Party Transactions Related-Party TransactionsCRA made payments to shareholders of CRA who performed consulting services exclusively for CRA in the amounts of $9.8 million, $9.3 million, and $8.8 million in fiscal 2020, fiscal 2019, and fiscal 2018, respectively. These payments were to exclusive non-employee experts for consulting services performed for CRA's clients in the ordinary course of business.