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Goodwill and Intangible Assets, Net
 12 Months Ended
Jan. 01, 2022
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 January 1, 2022 and January 2, 2021. Indefinite-lived trade name/trademarks totaled $1.4 million at January 1, 2022 and January 2, 2021.

Definite-lived Intangible Assets

The gross carrying amount of our developed technologies was $19 million at January 1, 2022 and January 2, 2021. Accumulated amortization was $16 million and $13 million at January 1, 2022 and January 2, 2021, respectively.

Amortization expense for our developed technologies was $2 million in each of 2021, 2020 and 2019.

The gross carrying amount of our patents, which were acquired in June 2020, was $2 million at both January 1, 2022 and January 2, 2021. Accumulated amortization was $0.3 million and $0.1 million at January 1, 2022 and January 2, 2021, respectively.
Amortization expense for our patents was $0.2 million and $0.1 million, in 2021 and 2020, respectively.

Annual amortization for definite-lived intangible assets for subsequent years are as follows (in thousands):
2022$2,403 
20231,431 
2024222 
2025226 
2026222 
Thereafter522 
Total future amortization for definite-lived intangible assets$5,026