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Goodwill and Intangible Assets - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jan. 01, 2023 | Oct. 02, 2022 | Dec. 31, 2023 | Jan. 01, 2023 | Jan. 02, 2022
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Finite-lived intangible assets, amortization expense, next 12 months |  |  | $ 20.6 |  |
Finite-lived intangible assets, amortization expense, year 2 |  |  | 18.5 |  |
Finite-lived intangible assets, amortization expense, year 3 |  |  | 17.9 |  |
Finite-lived intangible assets, amortization expense, year 4 |  |  | 17.3 |  |
Finite-lived intangible assets, amortization expense, year 5 |  |  | 16.1 |  |
Goodwill impairment charge | $ 10.3 | $ 30.7 | 0.0 | $ 41.0 | $ 0.0
Goodwill, net | 151.1 |  | $ 151.1 | 151.1 | 114.8
Softworld, Inc. |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Reporting unit, percentage of fair value in excess of carrying amount |  |  | 10.00% |  |
Outsourcing & Consulting |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Goodwill impairment charge |  |  | $ 0.0 | 41.0 |
Goodwill, net | $ 0.0 | $ 10.3 | 0.0 | 0.0 | 0.0
Selling, General and Administrative Expenses |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Amortization expense |  |  | $ 20.9 | $ 19.4 | $ 13.0

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