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Restructuring - Liability Incurred for Restructuring Plan (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Restructuring Reserve [Roll Forward]      
Charges $ 6,121 $ 21,889 $ 36,508
New World Fossil 2.0      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 5,331 10,261 7,084
Charges 6,121 21,889 36,508
Cash payments 7,778 26,164 30,799
Non-cash items 779 655 2,532
Balance at end of period 2,895 5,331 10,261
New World Fossil 2.0 | Store closures      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 300 240 22
Charges 787 1,215 4,347
Cash payments 612 500 1,597
Non-cash items 475 655 2,532
Balance at end of period 0 300 240
New World Fossil 2.0 | Professional services      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 643 2,280 2,824
Charges 166 5,695 7,503
Cash payments 735 7,332 8,047
Non-cash items 0 0 0
Balance at end of period 74 643 2,280
New World Fossil 2.0 | Severance and employee-related benefits      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 4,388 7,741 4,238
Charges 5,168 14,979 24,658
Cash payments 6,431 18,332 21,155
Non-cash items 304 0 0
Balance at end of period $ 2,821 $ 4,388 $ 7,741