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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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Dec. 30, 2023 | Dec. 31, 2022 | Jan. 01, 2022
Income Taxes [Line Items] |  |  |
Income taxes at U.S. statutory rate of 21% | $ (28.2) | $ (53.1) | $ 16.9
State income taxes, net of federal income tax | (2.0) | (2.3) | (1.1)
Adjustments for uncertain tax positions | (1.3) | (0.9) | (1.3)
Change in valuation allowance | 29.0 | 2.1 | 2.2
Tax impact of impairment in foreign jurisdiction | 0.0 | 3.0 | 0.0
Global Intangible Low Tax Income Tax | 1.5 | 3.8 | 3.2
Foreign Derived Intangible Income Tax Credit | 0.0 | (8.2) | (3.7)
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-based Compensation Cost | (0.8) | (3.3) | (5.2)
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-based Payment Arrangement, Amount | 4.2 | 1.6 | (3.7)
Effective Income Tax Rate Reconciliation Deferred ax on Future Dividends Due To TCJA | 0.0 | (0.2) | (0.9)
Tax Adjustments, Settlements, and Unusual Provisions | 0.0 | 0.0 | 2.5
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Impairment Losses, Amount | 4.3 | 0.0 | 0.0
Deferred Income Taxes and Tax Credits | 0.0 | 0.0 | (1.2)
Effective Income Tax Rate Reconciliation, Disposition of Business, Amount | (95.7) | 0.0 | 0.0
Other Permanent adjustments and non-deductible expenses | (1.2) | (1.4) | (0.3)
Other | (1.2) | 0.6 | (0.4)
Income tax expense (benefit) | (95.0) | (63.8) | 13.3
HONG KONG |  |  |
Income Taxes [Line Items] |  |  |
Foreign earnings taxed at rates different from the U.S. statutory rate: | (7.3) | (14.2) | (7.2)
ITALY |  |  |
Income Taxes [Line Items] |  |  |
Foreign earnings taxed at rates different from the U.S. statutory rate: | (2.5) | 0.3 | 1.1
UNITED KINGDOM |  |  |
Income Taxes [Line Items] |  |  |
Foreign earnings taxed at rates different from the U.S. statutory rate: | 2.3 | (1.1) | (0.5)
OTHER JURISDICTIONS |  |  |
Income Taxes [Line Items] |  |  |
Foreign earnings taxed at rates different from the U.S. statutory rate: | $ 3.9 | $ 2.9 | $ 2.5

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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from compensation and benefits costs. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-6 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 8 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-8 + Details
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- Definition Amount of reported income tax benefit from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to foreign-derived intangible income (FDII). + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-12 + Details
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