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Income Taxes - Tax rate reconciliation (Details) | 12 Months Ended
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Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Reconciliation of federal statutory tax rate to effective tax rate |  |  |
Federal statutory rate (as a percent) | 21.00% | 21.00% | 21.00%
Foreign tax rate benefit (as a percent) | (19.20%) | (14.90%) | (14.80%)
Research and development tax credits (as a percent) | (50.90%) | (15.20%) | (9.80%)
GILTI and Subpart F income | 35.70% | 4.90% | 4.10%
Nondeductible (nontaxable) foreign items | (1.50%) | 5.40% | 4.40%
State tax expense | 2.60% | 1.00% | 1.50%
Release of prior year unrecognized tax benefits (as a percent) |  | (0.40%) | (2.70%)
Nondeductible officer compensation | 15.70% | 4.30% | 2.40%
Change in cost-sharing treatment of stock-based compensation |  | 54.80% | (2.20%)
Excess tax benefit of stock-based compensation | (4.00%) | (2.20%) | (5.90%)
Change in prior period valuation allowance | 2.50% | 1.30% | (2.50%)
One-time impacts of tax reform |  | (0.50%) | (11.50%)
Nondeductible (nontaxable) domestic items | 14.80% | 2.80% | 1.50%
Other (as a percent) | 1.40% | (1.10%) | (1.30%)
Effective Tax Rate (as a percent) | 18.10% | 61.20% | (15.80%)

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