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Intangibles
3 Months Ended
Apr. 01, 2023
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Intangible Assets Disclosure [Text Block] Intangibles
Intangible assets consist of the following (in thousands):
 
 April 1, 2023December 31, 2022
Estimated
Weighted Avg
Remaining
Life
Gross
Carrying
Amount
Accumulated
Amortization
Estimated
Weighted Avg
Remaining
Life
Gross
Carrying
Amount
Accumulated
Amortization
Amortized intangible assets:      
Customer lists7.4$844,529 $(479,402)7.6$839,811 $(460,885)
Backlog0.08,899 (8,899)0.18,301 (6,352)
Developed technology8.585,791 (37,625)8.379,763 (35,797)
  $939,219 $(525,926) $927,875 $(503,034)
Indefinite-lived assets:      
Trademarks and tradenames $1,377,769   $1,369,391  

The aggregate intangible amortization expense was $21.2 million and $33.6 million for the three months period ended April 1, 2023 and April 2, 2022, respectively. The estimated future amortization expense of intangible assets is as follows (in thousands):
 
Twelve Month Period coinciding with the end of the company's Fiscal First QuarterAmortization Expense
 
2024$72,196 
202560,078 
202655,877 
202751,348 
202843,290 
Thereafter130,504 
$413,293