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Intangible Assets (Tables)
 12 Months Ended
Dec. 31, 2018
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of intangible assets
  December 31, 
   2017   2018 
Original amounts:        
         
Capitalized software costs  $75,126   $78,793 
Customer relationships   56,296    54,850 
Backlog and non-compete agreement   2,712    2,712 
Acquired technology   13,087    12,722 
           
    147,221    149,077 
Accumulated amortization:          
           
Capitalized software costs   61,834    66,123 
Customer relationships   27,967    33,578 
Backlog and non-compete agreement   2,486    2,674 
Acquired technology   3,923    5,223 
           
    96,210    107,598 
           
Intangible assets, net  $51,011   $41,479 
Schedule of estimated future amortization expense of intangible assets

2019  $10,323 
2020   8,572 
2021   7,057 
2022   4,749 
2023   3,546 
2024 and thereafter   7,232 
      
   $41,479