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Income Taxes (Narrative) (Details) - USD ($) $ in Millions | 1 Months Ended | 3 Months Ended | 12 Months Ended |  |  |
--- | --- | --- | --- | --- | --- | ---
Mar. 30, 2018 | Dec. 28, 2018 | Dec. 29, 2017 | Apr. 03, 2015 | Dec. 28, 2018 | Dec. 29, 2017 | Dec. 30, 2016 | Mar. 07, 2018 | Jan. 31, 2018 | Jan. 01, 2016
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Provisional net income tax expense |  |  |  |  | $ (5.3) | $ 129.7 | [1] | $ 43.9 | [1] |  |  |
Foreign Earnings Repatriated |  |  |  |  | 609.3 |  |  |  |  |  |  |
Unrecognized Tax Benefits |  | $ 69.1 | $ 82.4 |  | 69.1 | 82.4 |  | $ 72.9 |  |  |  | $ 59.0
Unrecognized Tax Benefits that Would Impact Effective Tax Rate |  | 60.5 | 68.5 |  | 60.5 | 68.5 |  |  |  |  |  |
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued |  | 11.0 | 12.7 |  | $ 11.0 | $ 12.7 |  |  |  |  |  |
Statutory federal income tax rate |  |  |  |  | 21.00% | 35.00% |  | 35.00% |  |  |  |
Internal Revenue Service (IRS) [Member] |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards |  | 86.8 |  |  | $ 86.8 |  |  |  |  |  |  |
Operating Loss Carryforwards, Expiration Date |  |  |  |  | Jan. 01, 2021 |  |  |  |  |  |  |
Foreign Tax Authority [Member] |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards |  | 83.8 |  |  | $ 83.8 |  |  |  |  |  |  |
Tax Cuts and Jobs Act 2017 |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Provisional net income tax expense |  |  | $ 80.2 |  |  |  |  |  |  |  |  |
One-time deferred income tax benefit to record GILTI deferred taxes |  | 15.1 |  |  |  |  |  |  |  |  |  |
Research Tax Credit Carryforward [Member] | Internal Revenue Service (IRS) [Member] |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Tax Credit Carryforward, Amount |  | 6.0 |  |  | $ 6.0 |  |  |  |  |  |  |
Tax Credit Carryforward, Expiration Date |  |  |  |  | Jan. 01, 2026 |  |  |  |  |  |  |
Research Tax Credit Carryforward [Member] | California Franchise Tax Board [Member] |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Tax Credit Carryforward, Amount |  | $ 22.4 |  |  | $ 22.4 |  |  |  |  |  |  |
Tax Year 2010 and 2011 [Member] | Internal Revenue Service (IRS) [Member] |  |  |  |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Notice of Proposed Adjustments - Tax and Penalties |  |  |  | $ 67.0 |  |  |  |  |  |  |  |
Loss Contingency Accrual, Payments | $ 8.6 |  |  |  |  |  |  |  |  |  |  |
Loss Contingency Accrual |  |  |  |  |  |  |  |  |  |  | $ 15.8 |
Income Tax Examination, Penalties and Interest Accrued |  |  |  |  |  |  |  |  |  | $ 51.2 |  |
[1] | See Note 2 for a summary of adjustments

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