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Goodwill and Other Intangible Assets (Tables)
 12 Months Ended
Dec. 31, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill

The changes in the net carrying amount of goodwill for the years ended December 31, are as follows:
 
 
2019
 
2018
Balance as of January 1,
$
400,440

 
$
401,954

 
 
 
 
Goodwill resulting from business combinations
217,482

 
—

 
 
 
 
Foreign currency translation
120

 
(1,514
)
 
 
 
 
Balance as of December 31,
$
618,042

 
$
400,440
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets
Other intangible assets consist of the following:
 
December 31, 2019
 
December 31, 2018
 
Weighted Average Amortization Period (Years)
Gross
Carrying
Amount
 
Accumulated
Amortization
 
Gross
Carrying
Amount
 
Accumulated
Amortization
Intangible assets with definite lives:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Customer and distributor relationships
24
$
342,568

 
$
(115,311
)
 
$
214,577

 
$
(97,131
)
 
 
 
 
 
 


 


Sales representation, marketing and promotional rights
25
149,376

 
(48,000
)
 
149,376

 
(42,000
)
 
 
 
 
 
 
 
 
 
Patents and other intangible assets
15
70,646

 
(46,456
)
 
61,473

 
(44,242
)
 
 
 
 
 
 


 


Developed technology
16
106,604

 
(13,171
)
 
91,965

 
(7,369
)
 
 
 
 
 
 
 
 
 
Intangible assets with indefinite lives:
 
 

 
 

 


 


 
 
 
 
 
 


 


Trademarks and tradenames
 
86,544

 
—

 
86,544

 
—

 
 
 
 
 
 
 
 
 
 
22
$
755,738

 
$
(222,938
)
 
$
603,935

 
$
(190,742
)
Schedule of Estimated Amortization Expense
The estimated amortization expense related to intangible assets at December 31, 2019 and for each of the five succeeding years is as follows:

 
Amortization included in expense
 
Amortization recorded as a reduction of revenue
 
Total
2020
$
28,059

 
$
6,000

 
$
34,059

2021
27,268

 
6,000

 
33,268

2022
26,122

 
6,000

 
32,122

2023
25,329

 
6,000

 
31,329

2024
24,526

 
6,000

 
30,526