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Goodwill and Intangible Assets, Net
 6 Months Ended
Jul. 01, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets, Net Goodwill and Intangible Assets, Net
Goodwill and Indefinite-lived Intangible Assets

Goodwill was $64 million at July 1, 2023 and December 31, 2022. Indefinite-lived trade name/trademarks totaled $1.4 million at July 1, 2023 and December 31, 2022.

Definite-lived Intangible Assets

July 1, 2023December 31, 2022
Gross Carrying
Amount		Accumulated
Amortization		Gross Carrying
Amount		Accumulated
Amortization
Developed technologies$18,851 $18,564 $18,851 $17,641 
Patents1,972 670 1,972 559 
$20,823 $19,234 $20,823 $18,200 

Developed technologies - amortization expense for the three months ended July 1, 2023 and July 2, 2022, was $0.4 million and $0.5 million, respectively, and for the six months ended July 1, 2023 and July 2, 2022 was $0.9 million and $1.1 million, respectively.

Patents - amortization expense for both the three months ended July 1, 2023 and July 2, 2022, was $55 thousand, and for both the six months ended July 1, 2023 and July 2, 2022, was $0.1 million.

Annual amortization for definite-lived intangible assets for subsequent years are as follows (in thousands):
2023 (excluding the six months ended July 1, 2023)$451 
2024222 
2025226 
2026222 
2027222 
2028156 
Thereafter145 
Total future amortization for definite-lived intangible assets$1,644