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Other Assets - Schedule of Other Assets (Details) - USD ($) $ in Millions | Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021
--- | --- | --- | ---
Other Assets [Line Items] |  |  |
Life insurance cash surrender value | $ 194.3 | $ 232.9 |
Intangibles, net of accumulated amortization | 158.7 | 122.0 |
Noncurrent restricted cash | 8.6 | 6.6 | $ 5.1
Workers' compensation receivable | 12.1 | 5.5 |
Other | 15.8 | 11.4 |
Other assets | 403.2 | 389.1 |
Intangible assets, accumulated amortization | 44.9 | 28.6 |
Other Assets |  |  |
Other Assets [Line Items] |  |  |
Intangible assets, accumulated amortization | 55.5 | 39.1 |
Long Term Hosted Software, net of accumulated amortization |  |  |
Other Assets [Line Items] |  |  |
Intangibles, net of accumulated amortization | 13.7 | 10.7 |
Long Term Hosted Software, net of accumulated amortization | Other Assets |  |  |
Other Assets [Line Items] |  |  |
Intangible assets, accumulated amortization | $ 7.3 | $ 3.2 |

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