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Goodwill and Identifiable Assets
12 Months Ended
Dec. 31, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Identifiable Intangible Assets Goodwill and Identifiable Intangible Assets
 
The changes in the carrying amount of goodwill for the years ended December 31, 2019 and 2018 are as follows (in millions):
 
 
Apex
Segment
 
Oxford
Segment
 
ECS
Segment
 
Total
Balance as of December 31, 2017
$
662.1

 
$
232.0

 
$

 
$
894.1

ECS acquisition

 

 
528.2

 
528.2

Translation adjustment

 
(1.2
)
 

 
(1.2
)
Balance as of December 31, 2018
662.1

 
230.8

 
528.2

 
1,421.1

DHA acquisition

 

 
24.7

 
24.7

Intersys acquisition
41.4

 

 

 
41.4

Translation adjustment

 
(0.3
)
 

 
(0.3
)
Balance as of December 31, 2019
$
703.5

 
$
230.5

 
$
552.9

 
$
1,486.9



Acquired intangible assets consisted of the following (in millions):
 
 
 
 
December 31, 2019
 
December 31, 2018
 
 
Estimated Useful Life
 
Gross Carrying Amount
 
Accumulated Amortization
 
Net Carrying Amount
 
Gross Carrying Amount
 
Accumulated Amortization
 
Net Carrying Amount
Subject to amortization:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Customer and contractual relationships
 
2 - 12.75 years
 
$
384.9

 
$
179.9

 
$
205.0

 
$
346.9

 
$
145.4

 
$
201.5

Contractor relationships
 
2 - 5 years
 
71.1

 
70.6

 
0.5

 
71.1

 
67.1

 
4.0

Backlog
 
1 - 2.75 years
 
25.0

 
23.9

 
1.1

 
23.1

 
17.7

 
5.4

Non-compete agreements
 
2 - 7 years
 
24.8

 
13.8

 
11.0

 
22.1

 
9.9

 
12.2

In-use software
 
6 years
 
18.9

 
18.9

 

 
18.9

 
16.0

 
2.9

Favorable contracts
 
5 years
 

 

 

 
1.4

 
0.9

 
0.5

 
 
 
 
524.7

 
307.1

 
217.6

 
483.5

 
257.0

 
226.5

Not subject to amortization:
 
 
 
 
 
 

 
 

 
 

 
 

 
 

Trademarks(1)
 
 
 
258.9

 

 
258.9

 
262.2

 

 
262.2

Total
 
 
 
$
783.6

 
$
307.1

 
$
476.5

 
$
745.7

 
$
257.0

 
$
488.7


(1) Certain foreign trademarks totaling $3.3 million were written off during the second quarter of 2019.

Amortization expense for intangible assets with finite lives was $51.1 million in 2019, $58.5 million in 2018 and $33.4 million in 2017. Estimated amortization for each of the next five years and thereafter follows (in millions):
 
2020
$
44.7

2021
37.8

2022
29.4

2023
25.4

2024
19.1

Thereafter
61.2

 
$
217.6