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Income Taxes (Details 5) - USD ($) $ in Thousands | 12 Months Ended
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Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Unrecognized Tax Benefits |  |  |  |
Unrecognized tax benefits at the beginning of the fiscal year |  | $ 106,041 | $ 101,857 | $ 110,179
Gross amount of the decreases in unrecognized tax benefits of tax positions taken during a prior year | [1] |  | (3,143) | (4,183)
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions | [1] | 5,037 |  |
Gross amount of the increases in unrecognized tax benefits as a result of tax positions taken during the current year |  | 3,344 | 8,951 | 2,370
Unrecognized Tax Benefits, Decrease Resulting from Settlements with Taxing Authorities |  | (1,316) | (380) | 0
Reductions to unrecognized tax benefits resulting from the lapse of the applicable statute of limitations |  | (676) | (1,692) | (5,179)
Unrecognized Tax Benefits, Increase Resulting from Foreign Currency Translation |  | 591 | 448 |
Decrease resulting from foreign currency translation |  |  |  | (1,330)
Unrecognized tax benefits at the end of the fiscal year |  | 113,021 | 106,041 | 101,857
Total amounts of unrecognized tax benefits that, if upon resolution of the uncertain tax positions would reduce Cadence's effective tax rate |  | 66,010 | 61,527 | 58,022
Interest and penalties recognized in Income Statements |  |  |  |
Interest |  | 473 | 490 | 585
Penalties |  | (3) | 19 | $ 342
Interest and penalties recognized in Balance Sheets |  |  |  |
Interest |  | 3,555 | 3,500 |
Penalties |  | $ 12 | $ 12 |
[1] | Includes unrecognized tax benefits of tax positions recorded in connection with acquisitions

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