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Income Taxes (Narrative) (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | ---
Jan. 03, 2020 | Jan. 03, 2020 | Dec. 28, 2018 | Dec. 29, 2017 | Mar. 30, 2018 | Dec. 30, 2016
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Statutory federal income tax rate |  | 21.00% | 21.00% | 35.00% |  |
Provisional net income tax expense |  |  |  | $ 80.2 |  |
One-time deferred income tax benefit to record GILTI deferred taxes |  |  | $ 15.1 |  |  |
Tax Cuts and Jobs Act, Change in Tax Rate, Income Tax Expense (Benefit) | $ 206.3 |  |  |  |  |
Foreign Earnings Repatriated |  | $ 239.4 |  |  |  |
Unrecognized Tax Benefits | 71.6 | 71.6 | 69.1 | $ 82.4 |  | $ 72.9
Unrecognized Tax Benefits that Would Impact Effective Tax Rate | 59.5 | 59.5 | 60.5 |  |  |
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued | 11.5 | 11.5 | $ 11.0 |  |  |
Internal Revenue Service (IRS) [Member] |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Operating Loss Carryforwards | 21.5 | $ 21.5 |  |  |  |
Operating Loss Carryforwards, Expiration Date |  | Jan. 01, 2021 |  |  |  |
Foreign Tax Authority [Member] |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Operating Loss Carryforwards | 81.0 | $ 81.0 |  |  |  |
Research Tax Credit Carryforward [Member] | Internal Revenue Service (IRS) [Member] |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Tax Credit Carryforward, Amount | 11.1 | $ 11.1 |  |  |  |
Tax Credit Carryforward, Expiration Date |  | Jan. 01, 2031 |  |  |  |
Research Tax Credit Carryforward [Member] | California Franchise Tax Board [Member] |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Tax Credit Carryforward, Amount | $ 33.0 | $ 33.0 |  |  |  |
Tax Year 2011 [Member] | Internal Revenue Service (IRS) [Member] |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Income Tax Examination, Penalties and Interest Accrued |  |  |  |  | $ 51.2 |

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