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Income Taxes (Details 5) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Unrecognized Tax Benefits      
Unrecognized tax benefits at the beginning of the fiscal year $ 113,021 $ 106,041 $ 101,857
Gross amount of the increases in unrecognized tax benefits of tax positions taken during the current year [1] 15,414 5,037  
Gross amount of the decreases in unrecognized tax benefits of tax positions taken during a prior year [1]     (3,143)
Gross amount of the increases in unrecognized tax benefits as a result of tax positions taken during the current year 5,100 3,344 8,951
Amount of decreases in unrecognized tax benefits relating the settlements with taxing authorities, including the utilization of tax attributes (270) (1,316) (380)
Reductions to unrecognized tax benefits resulting from the lapse of the applicable statute of limitations (2,778) (676) (1,692)
Effect of foreign currency translation 43 591 448
Unrecognized tax benefits at the end of the fiscal year 130,530 113,021 106,041
Total amounts of unrecognized tax benefits that, if upon resolution of the uncertain tax positions would reduce Cadence's effective tax rate 79,654 66,010 61,527
Interest and penalties recognized in Income Statements      
Interest 1,171 473 490
Penalties (11) (3) $ 19
Interest and penalties recognized in Balance Sheets      
Interest 4,921 3,555  
Penalties $ 0 $ 12  
[1] Includes unrecognized tax benefits of tax positions recorded in connection with acquisitions