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Income Taxes - Reconciliation of Income Tax Expense, Net of Federal Income Tax Rate (Detail) - USD ($) $ in Millions | 12 Months Ended
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Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Income Taxes [Line Items] |  |  |
Income taxes at U.S. statutory rate of 21% | $ (38.7) | $ 30.6 | $ 47.7
State income taxes, net of federal income tax | (8.1) | 0.5 | 2.8
Adjustments for uncertain tax positions | (1.4) | (1.0) | (1.4)
Change in valuation allowance | 4.7 | (0.2) | 3.3
Change in state tax rates | 0.0 | (1.5) | 1.9
Global Intangible Low Tax Income Tax | 2.5 | 2.1 | 3.7
Foreign Derived Intangible Income Tax Credit | (1.6) | (4.4) | (6.8)
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-based Compensation Cost | 1.6 | 2.0 | 0.9
Tax Adjustments, Settlements, and Unusual Provisions | (4.6) | (5.1) | (3.8)
Income tax benefits for grants | 5.6 | 4.8 | 6.4
Effective Income Tax Rate Reconciliation Deferred Tax On Future Dividends Due To TCJA | 1.0 | 0.6 | (0.9)
Other Permanent adjustments and non-deductible expenses | 1.0 | (0.6) | (6.7)
Other | 0.2 | (0.3) | 0.3
Income tax expense (benefit) | (45.5) | 17.0 | 27.1
HONG KONG |  |  |
Income Taxes [Line Items] |  |  |
Foreign earnings taxed at rates different from the U.S. statutory rate: | (3.3) | (8.5) | (10.8)
OTHER JURISDICTIONS |  |  |
Income Taxes [Line Items] |  |  |
Foreign earnings taxed at rates different from the U.S. statutory rate: | $ 1.2 | $ 2.8 | $ (3.1)

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- Definition Amount of tax benefit for recognition of expense of award under share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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