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Income Taxes - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
--- | ---
Jan. 02, 2022 | Jan. 03, 2021 | Dec. 29, 2019
Tax Credit Carryforward [Line Items] |  |  |
Tax expense related to the finalization of court case |  | $ 28.0 |
Valuation allowance on deferred tax assets | $ 134.0 | 81.0 |
Deferred tax liability for undistributed foreign earnings | 11.5 |  |
Uncertain tax positions that would reduce annual effective tax rate, if recognized | 111.0 | 68.0 |
Potential interest penalties on uncertain tax positions | 1.0 | (1.0) | $ (3.0)
Liability recorded for potential interest and penalties | 7.0 | 6.0 |
Tax Year 2017 |  |  |
Tax Credit Carryforward [Line Items] |  |  |
Undistributed earnings of foreign subsidiaries | 1,067.0 |  |
State |  |  |
Tax Credit Carryforward [Line Items] |  |  |
Net operating loss carryforwards | 1,290.0 |  |
Tax credit carryforwards | 165.0 |  |
IRS | Federal |  |  |
Tax Credit Carryforward [Line Items] |  |  |
Net operating loss carryforwards | 1,873.0 |  |
Tax credit carryforwards | 50.0 |  |
Singapore | Foreign |  |  |
Tax Credit Carryforward [Line Items] |  |  |
Decrease to the provision for income taxes | $ 82.0 | $ 30.0 | $ 33.0
Increase to net income per diluted share (in dollars per share) | $ 0.55 | $ 0.20 | $ 0.22
Goodwill |  |  |
Tax Credit Carryforward [Line Items] |  |  |
Valuation allowance on deferred tax assets | $ 20.0 |  |

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- Definition Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32537-109319 + Details
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- Definition Amount of deferred tax liability attributable to taxable temporary differences from undistributed earnings of subsidiary and other recognized entity not within country of domicile. Includes, but is not limited to, other basis differences. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 6 -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32621-109319 + Details
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