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Goodwill and Other Intangible Assets (Tables)
 9 Months Ended
Sep. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill

The changes in the net carrying amount of goodwill for the nine months ended September 30, 2019 are as follows:
Balance as of December 31, 2018
$
400,440

 
 
Goodwill resulting from business acquisition
215,793

 
 
Foreign currency translation
(465
)
 
 
Balance as of September 30, 2019
$
615,768
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets
Other intangible assets consist of the following:
 
September 30, 2019
 
December 31, 2018
 
Weighted Average Amortization Period (Years)
Gross
Carrying
Amount
 
Accumulated
Amortization
 
Gross
Carrying
Amount
 
Accumulated
Amortization
Amortized intangible assets:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Customer and distributor relationships
24
$
338,463

 
$
(110,727
)
 
$
214,577

 
$
(97,131
)
 
 
 
 
 
 
 
 
 
Sales representation, marketing and promotional rights
25
149,376

 
(46,500
)
 
149,376

 
(42,000
)
 
 
 
 
 
 
 
 
 
Patents and other intangible assets
15
69,553

 
(45,895
)
 
61,473

 
(44,242
)
 
 
 
 
 
 
 
 
 
Developed technology
16
106,604

 
(11,625
)
 
91,965

 
(7,369
)
 
 
 
 
 
 
 
 
 
Unamortized intangible assets:
 
 

 
 

 
 

 
 

 
 
 
 
 
 
 
 
 
Trademarks and tradenames
 
86,544

 
—

 
86,544

 
—

 
 
 
 
 
 
 
 
 
 
22
$
750,540

 
$
(214,747
)
 
$
603,935

 
$
(190,742
)
Schedule of Estimated Amortization Expense
The estimated intangible asset amortization expense remaining for the year ending 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
Remaining, 2019
$
6,635

 
$
1,500

 
$
8,135

2020
27,716

 
6,000

 
33,716

2021
26,925

 
6,000

 
32,925

2022
25,776

 
6,000

 
31,776

2023
24,922

 
6,000

 
30,922

2024
24,158

 
6,000

 
30,158