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Goodwill, Customer Relationships and Other Intangible Assets (Tables)
9 Months Ended
Sep. 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:
 
September 30, 2019
 
December 31, 2018
 
(Dollars in millions)
Goodwill
$
7,389

 
11,119

Customer relationships, less accumulated amortization of $1,355 and $833
$
7,026

 
7,567

Other intangible assets subject to amortization:
 
 
 
  Trade names, less accumulated amortization of $50 and $30
80

 
100

  Developed technology, less accumulated amortization of $121 and $67
378

 
310

Total other intangible assets, net
$
458

 
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 three months)
$
205

2020
825

2021
825

2022
764

2023
743


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

Effect of foreign currency rate change and other
(22
)
Impairment
(3,708
)
As of September 30, 2019
$
7,389