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Restructuring - Liability Incurred for Restructuring Plan (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Restructuring Reserve [Roll Forward]      
Charges $ 36,508 $ 29,636 $ 46,630
New World Fossil 2.0      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 7,084 0  
Charges 36,508 18,831  
Cash payments 30,799 11,172  
Non-cash items 2,532 575  
Balance at end of period 10,261 7,084 0
New World Fossil 2.0 | Store closures      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 22 0  
Charges 4,347 597  
Cash payments 1,597 0  
Non-cash items 2,532 575  
Balance at end of period 240 22 0
New World Fossil 2.0 | Professional services      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 2,824 0  
Charges 7,503 8,039  
Cash payments 8,047 5,215  
Non-cash items 0 0  
Balance at end of period 2,280 2,824 0
New World Fossil 2.0 | Severance and employee-related benefits      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 4,238 0  
Charges 24,658 10,195  
Cash payments 21,155 5,957  
Non-cash items 0 0  
Balance at end of period 7,741 4,238 0
New World Fossil 1.0      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 3,710 8,027  
Charges   10,805 46,630
Cash payments   10,501  
Non-cash items   4,621  
Balance at end of period   3,710 8,027
New World Fossil 1.0 | Store closures      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 1,863 2,818  
Charges   2,971  
Cash payments   1,673  
Non-cash items   2,253  
Balance at end of period   1,863 2,818
New World Fossil 1.0 | Professional services      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period 1,315 2,198  
Charges   485  
Cash payments   1,368  
Non-cash items   0  
Balance at end of period   1,315 2,198
New World Fossil 1.0 | Severance and employee-related benefits      
Restructuring Reserve [Roll Forward]      
Balance at beginning of period $ 532 3,011  
Charges   7,349  
Cash payments   7,460  
Non-cash items   2,368  
Balance at end of period   $ 532 $ 3,011