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Goodwill and Intangible Assets, Net
 9 Months Ended
Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets, Net Goodwill and Intangible Assets, Net
 
Goodwill at the dates indicated was as follows: 
 At September 30,At December 31,
(in thousands)
202120202020
North America
$96,306 $96,161 $96,311 
Europe
35,816 36,215 38,059 
Asia/Pacific
1,373 1,358 1,474 
Total
$133,495 $133,734 $135,844 
 
Intangible assets, net, at the dates indicated were as follows: 
 At September 30, 2021
 Gross Net
 CarryingAccumulatedCarrying
(in thousands)
AmountAmortizationAmount
North America
$41,003 $(25,563)$15,440 
Europe
26,361 (19,724)6,637 
Total
$67,364 $(45,287)$22,077 
 
 At September 30, 2020
 Gross Net
(in thousands)
Carrying
Amount		Accumulated
Amortization		Carrying
Amount
North America
$33,755 $(21,761)$11,994 
Europe
25,930 (16,960)8,970 
   Total$59,685 $(38,721)$20,964 
 
 At December 31, 2020
 Gross Net
(in thousands)
Carrying
Amount		Accumulated
Amortization		Carrying
Amount
North America
$40,786 $(22,697)$18,089 
Europe
26,341 (17,630)8,711 
Total
$67,127 $(40,327)$26,800 
 
Intangible assets consist of definite-lived and indefinite-lived assets. Definite-lived intangible assets include customer relationships, patents, unpatented technology, and non-compete agreements. Amortization expense of definite-lived intangible assets was $1.5 million and $1.7 million for the three months ended September 30, 2021 and 2020, respectively, and was $5.0 million and $4.5 million for the nine months ended September 30, 2021 and 2020, respectively. The weighted-average amortization period for all amortizable intangibles on a combined basis is 6.3 years.

The only indefinite-lived intangible asset, consisting of a trade name, totaled $0.6 million at September 30, 2021.

At September 30, 2021, the estimated future amortization of definite-lived intangible assets was as follows: 
(in thousands) 
Remaining three months of 2021$1,538 
20224,387 
20233,490 
20242,439 
20252,211 
20261,481 
Thereafter5,914 
$21,460 
 
The changes in the carrying amount of goodwill and intangible assets for the nine months ended September 30, 2021, were as follows: 
  Intangible
(in thousands)GoodwillAssets
Balance at December 31, 2020$135,844 $26,800 
Acquisitions— 218 
Reclassifications(106)348 
Amortization— (4,960)
Foreign exchange(2,243)(329)
Balance at September 30, 2021$133,495 $22,077