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Other Intangible Assets, Net
 9 Months Ended
Sep. 30, 2018
Goodwill and Intangible Assets Disclosure [Abstract]  
Other Intangible Assets, Net
Other Intangible Assets, Net

Other intangible assets, net consist of the following:

 
September 30, 2018
 
December 31, 2017
(in thousands)
Gross
 
Accumulated Amortization
 
Net
 
Gross
 
Accumulated Amortization
 
Net
Client lists
$
720,525

 
$
(336,422
)
 
$
384,103

 
$
690,693

 
$
(303,632
)
 
$
387,061

Non-compete agreements
33,833

 
(18,913
)
 
14,920

 
28,118

 
(15,528
)
 
12,590

Trade names and licenses
133,231

 
(57,217
)
 
76,014

 
125,090

 
(49,128
)
 
75,962

 
$
887,589

 
$
(412,552
)
 
$
475,037

 
$
843,901

 
$
(368,288
)
 
$
475,613



Amortization expense for other intangible assets, net was $16.3 million and $14.9 million for the three months ended September 30, 2018 and 2017, respectively, and $47.8 million and $42.9 million for the nine months ended September 30, 2018 and 2017, respectively.

Estimated amortization expense for other intangible assets, net is as follows:

(in thousands)
 
Remainder of 2018
$
15,963

2019
62,431

2020
60,263

2021
57,557

2022
55,518

Thereafter
223,305

 
$
475,037