Restructuring - Liability Incurred for Restructuring Plan (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Restructuring Reserve [Roll Forward]
Charges	$ 21,889	$ 36,508	$ 29,636
New World Fossil 2.0
Restructuring Reserve [Roll Forward]
Balance at beginning of period	10,261	7,084	0
Charges	21,889	36,508	18,831
Cash payments	26,164	30,799	11,172
Non-cash items	655	2,532	575
Balance at end of period	5,331	10,261	7,084
New World Fossil 2.0 | Store closures
Restructuring Reserve [Roll Forward]
Balance at beginning of period	240	22	0
Charges	1,215	4,347	597
Cash payments	500	1,597	0
Non-cash items	655	2,532	575
Balance at end of period	300	240	22
New World Fossil 2.0 | Professional services
Restructuring Reserve [Roll Forward]
Balance at beginning of period	2,280	2,824	0
Charges	5,695	7,503	8,039
Cash payments	7,332	8,047	5,215
Non-cash items	0	0	0
Balance at end of period	643	2,280	2,824
New World Fossil 2.0 | Severance and employee-related benefits
Restructuring Reserve [Roll Forward]
Balance at beginning of period	7,741	4,238	0
Charges	14,979	24,658	10,195
Cash payments	18,332	21,155	5,957
Non-cash items	0	0	0
Balance at end of period	$ 4,388	$ 7,741	$ 4,238