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Investment Income, Net (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 31, 2019
Jan. 02, 2022
Jan. 03, 2021
Dec. 29, 2019
Net Investment Income        
Gain on sale of investment   $ 63 $ 0 $ 24,496
Other than Temporary Impairment Losses, Investments   0 (471) 0
Other, net   (24) 246 1,102
Investment income, net   $ 39 $ (225) $ 25,598
Other investments in equity securities        
Net Investment Income        
Gain on sale of investment $ 25,000      
Other investments in equity securities | Investment income (loss), net        
Net Investment Income        
Gain on sale of investment 24,366      
Other investments in equity securities | General and administrative        
Net Investment Income        
Gain on sale of investment $ 634