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Shareholders' Deficit - Other Information Pertaining to Options (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Share-based Payment Arrangement [Abstract]      
Weighted-average grant date fair value of stock options granted (in dollars per share) $ 71.93 $ 15.10 $ 18.97
Total intrinsic value (at exercise) of stock options exercised $ 16,003 $ 14,357 $ 9,636