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Cash Flow Information (Tables)
 12 Months Ended
Dec. 31, 2022
Supplemental Cash Flow Elements [Abstract]  
Schedule of Cash Flow, Supplemental Disclosures
    
Fiscal Year Ended
  
    
December 31,
2022
     
January 1,
2022
     
January 2,
2021
  
Net cash paid during the year for:
                           
Interest expense
    $ 76,216      $ 79,374      $ 137,163  
Income taxes
(1)
    $ 25,815      $ 41,377      $ 24,609  
Noncash investing and financing activities were as follows:
                           
Fair value of net assets acquired in connection with acquisitions
    $ 240      $ 20,032      $ 9,677  
Capital expenditures and capitalized software included in accounts payable and accrued expenses
    $ 1,466      $ 1,835      $ 3,497  

(1)    Fiscal 2022, fiscal 2021 and fiscal 2020 include tax refunds received
of
 
$
5,109
, $
1,077
and $
6,936
, respectively.