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Restructuring - Schedule of Restructuring and Related Costs (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2023 | Apr. 02, 2023 | Dec. 31, 2023 | Jan. 01, 2023 | Jan. 02, 2022
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  |  | $ 4.0
Total |  |  | $ 40.6 | $ 1.7 |
2023 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs | $ 3.1 | $ 4.6 | 19.3 |  |
Lease Termination Costs, Transformation and Other |  |  | 19.3 |  |
Total |  | $ 5.7 | 38.6 |  |
2022 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  | 1.5 |
Total |  |  |  | 1.7 |
Lease Termination Costs |  |  |  | 0.2 |
Selling, General and Administrative Expenses |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Total |  |  |  | 1.7 | 4.0
Professional & Industrial | 2023 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  | 6.0 |  |
Lease Termination Costs, Transformation and Other |  |  | 0.7 |  |
Total |  |  | 6.7 |  |
Professional & Industrial | 2022 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  | 0.1 |
Total |  |  |  | 0.3 |
Lease Termination Costs |  |  |  | 0.2 |
Science, Engineering & Technology | 2023 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  | 1.3 |  |
Lease Termination Costs, Transformation and Other |  |  | 0.3 |  |
Total |  |  | 1.6 |  |
Education | 2023 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  | 1.0 |  |
Lease Termination Costs, Transformation and Other |  |  | 0.0 |  |
Total |  |  | 1.0 |  |
Education | 2022 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  | 0.4 |
Total |  |  |  | 0.4 |
Lease Termination Costs |  |  |  | 0.0 |
Outsourcing & Consulting | 2023 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  | 3.0 |  |
Lease Termination Costs, Transformation and Other |  |  | 0.0 |  |
Total |  |  | 3.0 |  |
Outsourcing & Consulting | 2022 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  | 0.2 |
Total |  |  |  | 0.2 |
Lease Termination Costs |  |  |  | 0.0 |
International |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  |  | 1.2
International | 2023 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  | 3.3 |  |
Lease Termination Costs, Transformation and Other |  |  | 0.0 |  |
Total |  |  | 3.3 |  |
Corporate |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  |  | $ 2.8
Corporate | 2023 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  | 4.7 |  |
Lease Termination Costs, Transformation and Other |  |  | 18.3 |  |
Total |  |  | $ 23.0 |  |
Corporate | 2022 Actions |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |
Severance Costs |  |  |  | 0.8 |
Total |  |  |  | 0.8 |
Lease Termination Costs |  |  |  | $ 0.0 |

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