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Income Taxes - Tax rate reconciliation (Details) | 12 Months Ended
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Jan. 01, 2022 | Jan. 02, 2021 | Dec. 28, 2019
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) | (12.50%) | (11.10%) | (9.70%)
Research and development tax credits (as a percent) | 0.10% | 4.20% | 5.30%
GILTI and Subpart F Income | (1.80%) | 0.20% | 0.20%
(Nondeductible) nontaxable foreign items | (4.90%) | 0.10% | (2.50%)
Nondeductible officer compensation | (7.80%) | (1.70%) | (2.00%)
Change in cost-sharing treatment of stock-based compensation |  |  | (19.20%)
Excess tax benefit of stock-based compensation | (2.80%) | (0.40%) | (0.80%)
Other tax effects of equity compensation | 0.40% | 0.10% | 0.70%
Change in prior period valuation allowance | (8.00%) | (0.30%) | (0.70%)
(Nondeductible) nontaxable domestic items | (2.10%) | (1.60%) | (1.60%)
Net operating loss not benefited | (9.50%) |  |
Other (as a percent) | (0.80%) | (0.30%) | 0.40%
Effective Tax Rate (as a percent) | (23.10%) | 11.00% | (7.30%)

X
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- Definition Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to nondeductible domestic items. + References No definition available. + Details
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- Definition Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to other tax effects of equity compensation. + References No definition available. + Details
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- Definition Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to changes in the valuation allowance for deferred tax assets. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 6.I.Fact.4) -URI http://asc.fasb.org/extlink&oid=122134291&loc=d3e330036-122817 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 12 -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319 + Details
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