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Intangibles
6 Months Ended
Jul. 01, 2023
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Intangible Assets Disclosure [Text Block] Intangibles
Intangible assets consist of the following (in thousands):
 
 July 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 lists7.3$842,004 $(495,609)7.6$839,811 $(460,885)
Backlog0.37,520 (6,831)0.18,301 (6,352)
Developed technology8.697,158 (40,361)8.379,763 (35,797)
  $946,682 $(542,801) $927,875 $(503,034)
Indefinite-lived assets:      
Trademarks and tradenames $1,386,890   $1,369,391  

The aggregate intangible amortization expense was $16.5 million and $16.5 million for the three months period ended July 1, 2023 and July 2, 2022, respectively. The aggregate intangible amortization expense was $37.7 million and $50.1 million for the six months period ended July 1, 2023 and July 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 Second QuarterAmortization Expense
 
2024$70,689 
202558,523 
202655,972 
202749,514 
202841,809 
Thereafter127,374 
$403,881