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Intangibles (Notes)
9 Months Ended
Oct. 01, 2022
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Intangible Assets Disclosure [Text Block] Intangibles
Intangible assets consist of the following (in thousands):
 
 October 1, 2022January 1, 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 lists7.7$824,595 $(439,285)7.6$863,339 $(411,327)
Backlog0.319,556 (16,512)0.213,684 (929)
Developed technology8.577,389 (33,953)8.973,461 (29,952)
  $921,540 $(489,750) $950,484 $(442,208)
Indefinite-lived assets:      
Trademarks and tradenames $1,350,011   $1,367,101  

The aggregate intangible amortization expense was $19.8 million and $18.2 million for the three months period ended October 1, 2022 and October 2, 2021, respectively. The aggregate intangible amortization expense was $69.9 million and $54.9 million for the nine months period ended October 1, 2022 and October 2, 2021, 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 Third QuarterAmortization Expense
 
2023$75,415 
202463,916 
202555,088 
202652,949 
202744,612 
Thereafter139,810 
$431,790