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Goodwill and Other Intangible Assets (Tables)
3 Months Ended
Mar. 31, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill The changes in the net carrying amount of goodwill for the three months ended March 31, 2019 are as follows:
Balance as of December 31, 2018
$
400,440

 
 
Goodwill resulting from business acquisition
214,793

 
 
Foreign currency translation
(81
)
 
 
Balance as of March 31, 2019
$
615,152


Schedule of Finite-Lived and Indefinite-Lived Intangible Assets Other intangible assets consist of the following:
 
March 31, 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
$
339,529

 
$
(101,057
)
 
$
214,577

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

 
(43,500
)
 
149,376

 
(42,000
)
 
 
 
 
 
 
 
 
 
Patents and other intangible assets
15
68,704

 
(44,783
)
 
61,473

 
(44,242
)
 
 
 
 
 
 
 
 
 
Developed technology
15
100,965

 
(8,753
)
 
91,965

 
(7,369
)
 
 
 
 
 
 
 
 
 
Unamortized intangible assets:
 
 

 
 

 
 

 
 

 
 
 
 
 
 
 
 
 
Trademarks and tradenames
 
86,544

 

 
86,544

 

 
 
 
 
 
 
 
 
 
 
22
$
745,118

 
$
(198,093
)
 
$
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
$
20,764

 
$
4,500

 
$
25,264

2020
27,890

 
6,000

 
33,890

2021
27,099

 
6,000

 
33,099

2022
25,849

 
6,000

 
31,849

2023
25,061

 
6,000

 
31,061

2024
24,358

 
6,000

 
30,358