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OTHER INTANGIBLE ASSETS, NET (Tables)
12 Months Ended
Dec. 31, 2017
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Schedule of Definite-Lived Other Intangible Assets
Definite-lived other intangible assets:

   
December 31,
 
   
2017
   
2016
 
Original amounts:
           
Core technology
 
$
673,291
   
$
623,274
 
Customer relationships, backlog and distribution network
   
382,031
     
372,438
 
Trademarks
   
56,196
     
55,745
 
                 
     
1,111,518
     
1,051,457
 
Accumulated amortization:
               
Core technology
   
315,665
     
238,898
 
Customer relationships and distribution network
   
225,951
     
181,123
 
Trademarks
   
18,555
     
12,701
 
                 
     
560,171
     
432,722
 
                 
Other intangible assets, net
 
$
551,347
   
$
618,735
 
Schedule of Estimated Amortization Expense
Estimated amortization expense:

For the year ended December 31,
     
       
2018
 
$
102,561
 
2019
   
99,091
 
2020
   
93,837
 
2021
   
85,822
 
2022 and thereafter
   
170,036
 
         
   
$
551,347