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Income Taxes (Narrative) (Details) - USD ($) $ in Millions |  |  | 12 Months Ended |
--- | --- | --- | --- | ---
Jan. 01, 2022 | Jan. 01, 2021 | Dec. 31, 2021 | Jan. 01, 2021 | Jan. 03, 2020 | Dec. 28, 2018
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Statutory federal income tax rate |  |  | 21.00% | 21.00% | 21.00% |
Foreign earnings repatriated |  |  | $ 290.1 |  |  |
Unrecognized tax benefits |  | $ 64.1 | 64.2 | $ 64.1 | $ 71.6 | $ 69.1
Unrecognized tax benefits that would impact effective tax rate |  | 47.8 | 42.3 | 47.8 |  |
Payment of interest and penalties |  | $ 9.6 | 9.2 | 9.6 |  |
NETHERLANDS |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Foreign change in tax rate, income tax expense (benefit) |  |  | $ 14.4 | $ (64.0) |  |
Statutory federal income tax rate |  | 25.00% | 25.00% | 21.70% |  |
NETHERLANDS | Subsequent Event |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Statutory federal income tax rate | 25.80% |  |  |  |  |
IRS |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Net operating loss carryforwards |  |  | $ 12.9 |  |  |
Foreign Tax Authority |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Net operating loss carryforwards |  |  | 90.2 |  |  |
Research Tax Credit Carryforward | California Franchise Tax Board |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |
Tax credit carryforward |  |  | $ 33.0 |  |  |

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