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Revenue Recognition- Summary of Percent of Revenues (Detail) - Revenue from Rights Concentration Risk | 12 Months Ended
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Jan. 01, 2021 | Jan. 03, 2020 | Dec. 28, 2018
Engineering and Other Scientific [Member] | Time And Materials Contracts [Member] |  |  |
Disaggregation Of Revenue [Line Items] |  |  |
Concentration Risk, Percentage | 61.00% | 66.00% | 64.00%
Engineering and Other Scientific [Member] | Fixed Price Contracts [Member] |  |  |
Disaggregation Of Revenue [Line Items] |  |  |
Concentration Risk, Percentage | 19.00% | 15.00% | 17.00%
Environmental and Health [Member] | Time And Materials Contracts [Member] |  |  |
Disaggregation Of Revenue [Line Items] |  |  |
Concentration Risk, Percentage | 19.00% | 18.00% | 18.00%
Environmental and Health [Member] | Fixed Price Contracts [Member] |  |  |
Disaggregation Of Revenue [Line Items] |  |  |
Concentration Risk, Percentage | 1.00% | 1.00% | 1.00%
Sales Revenue, Net [Member] | Time And Materials Contracts [Member] |  |  |
Disaggregation Of Revenue [Line Items] |  |  |
Concentration Risk, Percentage | 80.00% | 84.00% | 82.00%
Sales Revenue, Net [Member] | Fixed Price Contracts [Member] |  |  |
Disaggregation Of Revenue [Line Items] |  |  |
Concentration Risk, Percentage | 20.00% | 16.00% | 18.00%

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