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Goodwill and Intangible Assets (Tables)
 12 Months Ended
Dec. 31, 2018
Goodwill [Line Items]  
Schedule of Goodwill [Table Text Block]
The change in the carrying amount of goodwill for the years ended December 31, 2018 and 2017, was as follows (in thousands):
Balance as of December 31, 2016
$
20,096

    Goodwill acquired
17,052

    Foreign currency translation adjustments
1,310

Balance as of December 31, 2017
38,458

    Purchase accounting adjustments
252

    Foreign currency translation adjustments
(479
)
Balance as of December 31, 2018
$
38,231
Schedule of Finite-Lived Intangible Assets [Table Text Block]
Intangible assets consisted of the following as of December 31, (in thousands):
 
 
 
December 31, 2018
 
Weighted average useful life (years)
 
Gross Carrying Amount
 
Accumulated Amortization*
 
Net Carrying Amount
Developed technology
7
 
$
25,584

 
$
13,890

 
$
11,694

Maintenance relationships
8
 
3,485

 
2,488

 
997

Customer relationships
6
 
11,802

 
6,884

 
4,918

Acquired technology
2
 
1,925

 
180

 
1,745

Total
 
 
$
42,796

 
$
23,442

 
$
19,354

*Cumulative foreign currency translation adjustments, reflecting movement in the currencies of the underlying entities, decreased total intangible assets by approximately $0.2 million as of December 31, 2018.

 
 
 
December 31, 2017
 
Weighted average useful life (years)
 
Gross Carrying Amount
 
Accumulated Amortization*
 
Net Carrying Amount
Developed technology
7
 
$
26,023

 
$
9,560

 
$
16,463

Maintenance relationships
8
 
3,565

 
2,207

 
1,358

Customer relationships
6
 
11,840

 
4,482

 
7,358

Acquired technology
3
 
1,750

 
—

 
1,750

Total

 
$
43,178

 
$
16,249

 
$
26,929


*Cumulative foreign currency translation adjustments, reflecting movement in the currencies of the underlying entities, increased total intangible assets by approximately $0.7 million as of December 31, 2017.

Customer relationships are amortized over five or eight years.
Schedule of Finite-Lived Intangible Assets, Future Amortization Expense [Table Text Block]
As of December 31, 2018, the expected future amortization expense for the acquired intangible assets for each of the five succeeding years and thereafter was as follows (in thousands):        
Year Ending December 31,
 
Amount
2019
 
$
6,575

2020
 
5,791

2021
 
3,021

2022
 
1,921

2023
 
1,292

2024 and thereafter
 
754

Total amortization expense
 
$
19,354