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Goodwill and Intangible Assets (Tables)
 12 Months Ended
Dec. 31, 2022
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill
The changes in carrying amounts of goodwill attributable to continuing operations for the years ended December 31, 2022 and 2021 are as follows (in thousands):
Amount
Balance as of January 1, 2021$342,430 
Foreign exchange translation(3,221)
Balance as of December 31, 2021$339,209 
Goodwill acquired (Note 4)5,677 
Foreign exchange translation (1)
1,699 
Balance as of December 31, 2022$346,585 
(1) In 2022, the Company recorded a $5.5 million out of period correction that increased goodwill with an offset to the cumulative translation adjustment. It was deemed to be an out of period correction that was not material to 2022 or any prior period.
Indefinite Intangible Assets
Intangible assets are summarized as of December 31, 2022 and 2021 as follows (in thousands):
20222021
Trade names$27,337 $27,388 
Other4,045 3,683 
Total$31,382 $31,071 
Intangible Assets Subject to Amortization
As of December 31, 2022, intangible assets subject to amortization are summarized as follows (in thousands):
Weighted-Average Remaining
  Amortization
Period
Historical
Cost		Accumulated
Amortization		Net
Trade names0.5 years$8,151 $7,605 $546 
Patent and patent licenses0.0 years54,341 54,341 — 
Customer relationships (1)
3.1 years107,175 92,573 14,602 
Other purchased intangibles2.0 years11,937 9,311 2,626 
Total $181,604 $163,830 $17,774 
(1) Historically, the Company has amortized its customer relationship assets in a pattern that best reflects the pace in which the assets’ benefits are consumed. This pattern results in a substantial majority of the amortization expense being recognized in the first four to five years, despite the overall life of the asset.

As of December 31, 2021, intangible assets subject to amortization are summarized as follows (in thousands):
Weighted-Average Remaining
  Amortization
Period
Historical
Cost		Accumulated
Amortization		Net
Trade names1.6 years$12,219 $10,633 $1,586 
Patent and patent licenses (1)
0.0 years54,341 53,930 411 
Customer relationships (2)
4.3 years99,571 90,050 9,521 
Other purchased intangibles3.8 years13,160 12,200 960 
Total $179,291 $166,813 $12,478 
(1) The December 31, 2021 patent and patent licenses historical cost and accumulated amortization balance was adjusted to conform with presentation of the December 31, 2022 balance for comparability purposes. There was no impact to the net balance.
(2) Historically, the Company has amortized its customer relationship assets in a pattern that best reflects the pace in which the assets’ benefits are consumed. This pattern results in a substantial majority of the amortization expense being recognized in the first four to five years, despite the overall life of the asset.
Expected Amortization Expenses for Intangible Assets Subject To Amortization
Expected amortization expenses for intangible assets subject to amortization at December 31, 2022 are as follows (in thousands):
Fiscal Year:Amount
2023$4,220 
20243,496 
20252,645 
20262,206 
20271,410 
Thereafter3,797 
Total expected amortization expense$17,774