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Income Taxes (Narrative) (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | ---
Apr. 03, 2015 | Dec. 28, 2018 | Dec. 29, 2017 | Dec. 30, 2016 | Jan. 01, 2016 | Jan. 31, 2018 | Jan. 02, 2015
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Income Tax Expense (Benefit) |  |  | $ 137.9 | $ 44.5 | $ 31.1 |  |
Unrecognized Tax Benefits |  |  | 82.4 | 72.9 | $ 59.0 |  | $ 51.4
Unrecognized Tax Benefits that Would Impact Effective Tax Rate |  |  | 68.5 | 60.5 |  |  |
Decrease in Unrecognized Tax Benefits is Reasonably Possible |  |  | 6.2 |  |  |  |
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued |  |  | $ 12.7 | $ 9.3 |  |  |
Statutory federal income tax rate |  |  | 35.00% | 35.00% | 35.00% |  |
Internal Revenue Service (IRS) [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Operating Loss Carryforwards |  |  | $ 31.3 |  |  |  |
Operating Loss Carryforwards, Expiration Date |  |  | Jan. 01, 2021 |  |  |  |
Foreign Tax Authority [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Operating Loss Carryforwards |  |  | $ 100.2 |  |  |  |
Tax Cuts and Jobs Act [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
One-time mandatory transition tax on accumulated foreign earnings provisional amount |  |  | 126.0 |  |  |  |
Income Tax Expense (Benefit) |  |  | (46.7) |  |  |  |
Remeasurement charge of Deferred Tax Asset and Liability |  |  | 3.3 |  |  |  |
Tax Cuts and Jobs Act [Member] | State Tax and Foreign Withholding [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Provisional Amount of State Tax and Foreign Withholding Taxes |  |  | 2.4 |  |  |  |
Research Tax Credit Carryforward [Member] | Internal Revenue Service (IRS) [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Tax Credit Carryforward, Amount |  |  | $ 0.4 |  |  |  |
Tax Credit Carryforward, Expiration Date |  |  | Jan. 01, 2030 |  |  |  |
Research Tax Credit Carryforward [Member] | California Franchise Tax Board [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Tax Credit Carryforward, Amount |  |  | $ 24.2 |  |  |  |
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 |  |  |  |  |  |
Subsequent Event [Member] | Tax Cuts and Jobs Act [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Statutory federal income tax rate |  | 21.00% |  |  |  |  |
Subsequent Event [Member] | Tax Year 2010 and 2011 [Member] | Internal Revenue Service (IRS) [Member] |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |
Proposal to Settle Certain Assessments |  |  |  |  |  | $ 15.8 |

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- Definition Amount of decrease reasonably possible in the next twelve months for the unrecognized tax benefit. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (d)(3) -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32718-109319 + Details
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- Definition Estimated amount of loss resulting from an adverse tax position. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (d)(3) -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32718-109319 + Details
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