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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2022 | Jun. 30, 2022 | Mar. 31, 2022 | Dec. 31, 2021 | Sep. 30, 2021 | Jun. 30, 2021 | Mar. 31, 2021 | Dec. 31, 2020 | Sep. 30, 2022 | Sep. 30, 2021
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue | $ 67,233 | $ 66,440 | $ 108,699 | $ 152,801 | $ 65,182 | $ 61,555 | $ 61,506 | $ 57,852 | $ 395,173 | $ 246,094
Prime Contractor |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 366,571 | 215,241
Subcontractor |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 28,602 | 30,853
Time and Materials |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 308,944 | 185,656
Cost Reimbursable |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 46,231 | 48,101
Firm Fixed Price |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 39,998 | 12,337
Department of Homeland Security | Revenue Concentration | Customer Concentration |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 126,576 | 2,485
Department of Veterans Affairs | Revenue Concentration | Customer Concentration |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 126,106 | 110,078
Department of Health and Human Services | Revenue Concentration | Customer Concentration |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 102,201 | 91,543
Department of Defense | Revenue Concentration | Customer Concentration |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | 33,612 | 30,930
Other | Revenue Concentration | Customer Concentration |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |
Total Revenue |  |  |  |  |  |  |  |  | $ 6,678 | $ 11,058

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