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Revenue Recognition- Summary of Revenues (Detail) - Sales Revenue, Net [Member] - Revenue from Rights Concentration Risk [Member]
12 Months Ended
Dec. 31, 2021
Jan. 01, 2021
Jan. 03, 2020
Time And Materials Contracts [Member]      
Disaggregation Of Revenue [Line Items]      
Fiscal Years 78.00% 80.00% 84.00%
Time And Materials Contracts [Member] | Engineering and Other Scientific [Member]      
Disaggregation Of Revenue [Line Items]      
Fiscal Years 61.00% 61.00% 66.00%
Time And Materials Contracts [Member] | Environmental and Health [Member]      
Disaggregation Of Revenue [Line Items]      
Fiscal Years 17.00% 19.00% 18.00%
Fixed Price Contracts [Member]      
Disaggregation Of Revenue [Line Items]      
Fiscal Years 22.00% 20.00% 16.00%
Fixed Price Contracts [Member] | Engineering and Other Scientific [Member]      
Disaggregation Of Revenue [Line Items]      
Fiscal Years 21.00% 19.00% 15.00%
Fixed Price Contracts [Member] | Environmental and Health [Member]      
Disaggregation Of Revenue [Line Items]      
Fiscal Years 1.00% 1.00% 1.00%