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Goodwill and Intangible Assets, Net
 6 Months Ended
Jun. 30, 2019
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 June 30,
 
At December 31,
(in thousands)
2019
 
2018
 
2018
North America
$
96,546

 
$
95,621

 
$
96,435

Europe
34,426

 
39,365

 
32,471

Asia/Pacific
1,340

 
1,412

 
1,344

Total
$
132,312

 
$
136,398

 
$
130,250


 
Intangible assets, net, at the dates indicated were as follows: 
 
At June 30, 2019
 
Gross
 
 
 
Net
 
Carrying
 
Accumulated
 
Carrying
(in thousands)
Amount
 
Amortization
 
Amount
North America
$
30,824

 
$
(17,586
)
 
$
13,238

Europe
23,599

 
(13,846
)
 
9,753

Total
$
54,423

 
$
(31,432
)
 
$
22,991

 
 
At June 30, 2018
 
Gross
 
 
 
Net
(in thousands)
Carrying
Amount
 
Accumulated
Amortization
 
Carrying
Amount
North America
$
30,715

 
$
(15,232
)
 
$
15,483

Europe
23,884

 
(12,606
)
 
11,278

Total
$
54,599

 
$
(27,838
)
 
$
26,761

 
 
At December 31, 2018
 
Gross
 
 
 
Net
(in thousands)
Carrying
Amount
 
Accumulated
Amortization
 
Carrying
Amount
North America
$
30,825

 
$
(16,002
)
 
$
14,823

Europe
22,353

 
(12,774
)
 
9,579

Total
$
53,178

 
$
(28,776
)
 
$
24,402


 
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 $1.3 million for each of the three-month periods ended June 30, 2019 and 2018, respectively, and was $2.7 million and $2.6 for the six months ended June 30, 2019 and 2018, respectively. The weighted-average amortization period for all amortizable intangibles on a combined basis is 5.4 years.

The only indefinite-lived intangible asset, consisting of a trade name, totaled $0.6 million at June 30, 2019.

At June 30, 2019, the estimated future amortization of definite-lived intangible assets was as follows: 
(in thousands)
 
 
 
Remaining six months of 2019
$
2,725

2020
5,421

2021
4,942

2022
3,052

2023
2,248

2024
1,285

Thereafter
2,702

 
$
22,375


 
The changes in the carrying amount of goodwill and intangible assets for the six months ended June 30, 2019, were as follows: 
 
 
 
Intangible
(in thousands)
Goodwill
 
Assets
Balance at December 31, 2018
$
130,250

 
$
24,402

Acquisitions
1,815

 
1,213

Amortization
—

 
(2,657
)
Foreign exchange
247

 
33

Balance at June 30, 2019
$
132,312

 
$
22,991