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Goodwill and Other Intangible Assets (Tables)
3 Months Ended
Mar. 31, 2018
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Changes in the Carrying Amount of Goodwill

Changes in the carrying amount of the Company’s goodwill for the three-months ended March 31, 2018 were as follows:

      U.S. $ in millions
  Goodwill as of January 1, 2018 $ 387.1
  Translation differences 0.3
  Goodwill as of March 31, 2018 $ 387.4
Schedule of Other Intangible Assets

Other intangible assets consisted of the following:

      March 31, 2018 December 31, 2017
  Carrying Amount, Net Carrying Amount, Net
  Net of Accumulated Book Net of Accumulated Book
  Impairment Amortization Value Impairment Amortization Value
  U.S. $ in thousands
  Developed technology       $ 303,402       $ (224,922 )       $ 78,480       $ 304,601       $ (220,420 )       $      84,181
  Patents 18,512 (14,115 ) $ 4,397 19,708 (14,279 ) 5,429
  Trademarks and trade names 27,271 (18,590 ) $ 8,681 27,248 (18,245 ) 9,003
  Customer relationships 106,364 (65,766 ) $ 40,598 106,203 (63,435 ) 42,768
  Capitalized software development costs 19,541 (18,886 ) $ 655 19,541 (18,800 ) 741
  $ 475,090 $      (342,279 ) $      132,811 $ 477,301 $      (335,179 ) $ 142,122
Schedule of Estimated Amortization Expense Relating to Intangible Assets

As of March 31, 2018, the estimated amortization expense relating to intangible assets currently subject to amortization for each of the following periods was as follows:

Estimated
amortization expense
(U.S. $ in thousands)
      Remaining 9 months of 2018 $ 24,251
2019 31,964
2020 31,627
2021 31,056
2022 9,921
Thereafter 3,992
Total 132,811