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Goodwill and Other Intangible Assets (Tables)
6 Months Ended
Jun. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill
The changes in the net carrying amount of goodwill for the six months ended June 30, 2020 are as follows:

Balance as of December 31, 2019$618,042  
Goodwill adjustment resulting from business acquisition(1,009) 
Foreign currency translation(348) 
Balance as of June 30, 2020$616,685  
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets
Other intangible assets consist of the following:

 June 30, 2020December 31, 2019
Weighted Average Amortization Period (Years)Gross
Carrying
Amount
Accumulated
Amortization
Gross
Carrying
Amount
Accumulated
Amortization
Intangible assets with definite lives:
Customer and distributor relationships24$342,420  $(124,865) $342,568  $(115,311) 
Sales representation, marketing and promotional rights25149,376  (51,000) 149,376  (48,000) 
Patents and other intangible assets1572,209  (47,663) 70,646  (46,456) 
Developed technology16106,604  (16,438) 106,604  (13,171) 
Intangible assets with indefinite lives:    
Trademarks and tradenames86,544  —  86,544  —  
22$757,153  $(239,966) $755,738  $(222,938) 
Schedule of Estimated Amortization Expense
The estimated intangible asset amortization expense remaining for the year ending December 31, 2020 and for each of the five succeeding years is as follows:
 
Amortization included in expenseAmortization recorded as a reduction of revenueTotal
Remaining, 2020$14,019  $3,000  $17,019  
202127,449  6,000  33,449  
202226,293  6,000  32,293  
202325,516  6,000  31,516  
202424,691  6,000  30,691  
202524,947  6,000  30,947