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Goodwill and Other Intangible Assets (Tables)
9 Months Ended
Sep. 30, 2020
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, 2020 are as follows:

Balance as of December 31, 2019$618,042 
Goodwill adjustment resulting from business acquisition(1,009)
Foreign currency translation360 
Balance as of September 30, 2020$617,393 
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets
Other intangible assets consist of the following:

 September 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$342,523 $(129,706)$342,568 $(115,311)
Sales representation, marketing and promotional rights25149,376 (52,500)149,376 (48,000)
Developed technology16106,604 (18,071)106,604 (13,171)
Patents and other intangible assets1573,181 (48,267)70,646 (46,456)
Intangible assets with indefinite lives:    
Trademarks and tradenames86,544 — 86,544 — 
22$758,228 $(248,544)$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$6,970 $1,500 $8,470 
202127,523 6,000 33,523 
202226,369 6,000 32,369 
202325,588 6,000 31,588 
202424,777 6,000 30,777 
202525,023 6,000 31,023