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Commitments and Contingencies (Details)
 3 Months Ended 12 Months Ended
Apr. 03, 2022
Agreement
Jan. 02, 2023
Agreement
Jan. 01, 2022
employee
Agreement
Loss Contingencies [Line Items]      
Entity number of employees | employee     2,055
Percentage of employees for part-time basis     1.00%
Percentages of employees represented by various labor unions     21.00%
Number of CBAs, renewals in next fiscal year     6
Employees are up for renewal     6.00%
Forecast      
Loss Contingencies [Line Items]      
Number of CBAs, renewals in next fiscal year   2  
Employees are up for renewal   4.00%  
Number of collective bargaining agreements, successful renewals 4