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Goodwill and Intangible Assets - Rollforward (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jan. 01, 2023 | Oct. 02, 2022 | Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021
Goodwill [Roll Forward] |  |  |  |  |
Goodwill, beginning balance |  |  | $ 114.8 | $ 3.5 |
Additions to Goodwill |  |  | 77.3 | 111.3 |
Goodwill impairment charge | $ (10.3) | $ (30.7) | (41.0) | 0.0 | $ (147.7)
Goodwill, ending balance | 151.1 |  | 151.1 | 114.8 | 3.5
Science, Engineering & Technology |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |
Goodwill, beginning balance |  |  | 111.3 | 0.0 |
Additions to Goodwill |  |  | 0.0 | 111.3 |
Goodwill impairment charge |  |  | 0.0 | 0.0 |
Goodwill, ending balance | 111.3 |  | 111.3 | 111.3 | 0.0
Education |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |
Goodwill, beginning balance |  |  | 3.5 | 3.5 |
Additions to Goodwill |  |  | 36.3 | 0.0 |
Goodwill impairment charge |  |  | 0.0 | 0.0 |
Goodwill, ending balance | 39.8 |  | 39.8 | 3.5 | $ 3.5
Outsourcing & Consulting |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |
Goodwill, beginning balance | 10.3 |  | 0.0 |  |
Additions to Goodwill |  |  | 41.0 |  |
Goodwill impairment charge |  |  | (41.0) |  |
Goodwill, ending balance | $ 0.0 | $ 10.3 | $ 0.0 | $ 0.0 |

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