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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)
12 Months Ended
Oct. 03, 2021
Jan. 01, 2022
Jan. 02, 2021
Goodwill and Intangible Assets Disclosure [Abstract]      
Impairment $ 0    
Amortization of intangible assets   $ 5,300,000 $ 7,500,000