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Taxes - Narrative (Details) - USD ($) | 12 Months Ended
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Jan. 01, 2022 | Jan. 02, 2021 | Dec. 28, 2019
Income tax contingency |  |  |
Deferred tax assets, loss carryforwards | $ 57,264,000 | $ 54,112,000 |
Valuation allowance | 122,953,000 | 109,250,000 |
Undistributed earnings of certain foreign subsidiaries | 156,700,000 |  |
Undistributed earnings, amount subject to reinvestment | 562,000,000 |  |
Unrecognized tax benefits that would favorably impact the effective tax rate in future periods if recognized | 24,800,000 | 31,500,000 | $ 35,700,000
Unrecognized tax benefits excluding interest and penalties | 14,200,000 |  |
Accrued income tax-related interest | 8,200,000 | 6,700,000 |
Penalties accrued | 0 | 800,000 |
Accrued interest (benefit) expense | 1,500,000 | $ 1,900,000 | $ 1,200,000
Foreign income tax |  |  |
Income tax contingency |  |  |
Deferred tax assets, loss carryforwards | 47,600,000 |  |
Increase (decrease) in deferred tax asset valuation allowance | 3,800,000 |  |
Valuation allowance | 57,100,000 |  |
State income tax |  |  |
Income tax contingency |  |  |
Deferred tax assets, loss carryforwards | 9,700,000 |  |
U.S. income tax |  |  |
Income tax contingency |  |  |
Increase (decrease) in deferred tax asset valuation allowance | 9,900,000 |  |
Valuation allowance | $ 65,900,000 |  |

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