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Goodwill, Customer Relationships and Other Intangible Assets (Tables)
6 Months Ended
Jun. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of acquisition-related intangible assets
Goodwill, customer relationships and other intangible assets consisted of the following:
 
June 30, 2019
 
December 31, 2018
 
(Dollars in millions)
Goodwill
$
7,408

 
11,119

Customer relationships, less accumulated amortization of $1,183 and $833
$
7,219

 
7,567

Other intangible assets subject to amortization:
 
 
 
  Trade names, less accumulated amortization of $43 and $30
87

 
100

  Developed technology, less accumulated amortization of $102 and $67
345

 
310

Total other intangible assets, net
$
432

 
410


Schedule of estimated amortization expense of finite-lived acquisition-related intangible assets

We estimate that total amortization expense for intangible assets for the years ending December 31, 2019 through 2023 will be as follows:
 
(Dollars in millions)
2019 (remaining six months)
$
408

2020
816

2021
816

2022
812

2023
734


Schedule of Goodwill
The following table shows the rollforward of goodwill from December 31, 2018 through June 30, 2019:
 
(Dollars in millions)
As of December 31, 2018
$
11,119

Effect of foreign currency rate change
(3
)
Impairment
(3,708
)
As of June 30, 2019
$
7,408