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Other Intangible Assets, net (Tables)
 3 Months Ended
Mar. 31, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Summary of intangible assets, net

The components of other intangible assets, net, at March 31, 2020 and December 31, 2019 were as follows:
 
 
 
March 31, 2020 (unaudited)
 
December 31, 2019
(millions)
Weighted
Average
Life (Years)
 
Acquired
Intangible
Assets,
Gross
 
Accumulated
Amortization
 
Acquired
Intangible
Assets,
Net
 
Acquired
Intangible
Assets,
Gross
 
Accumulated
Amortization
 
Acquired
Intangible
Assets,
Net
Covenant not to compete
2.7
 
$
2.9

 
$
(0.6
)
 
$
2.3

 
$
2.9

 
$
(0.3
)
 
$
2.6

Trade names and trademarks
3.7
 
5.6

 
(1.5
)
 
4.1

 
5.6

 
(1.2
)
 
4.4

Proprietary know how
4.4
 
10.4

 
(2.4
)
 
8.0

 
10.4

 
(2.0
)
 
8.4

Management contract rights
8.8
 
81.0

 
(38.7
)
 
42.3

 
81.0

 
(37.4
)
 
43.6

Customer relationships
13.6
 
100.4

 
(8.8
)
 
91.6

 
100.4

 
(7.2
)
 
93.2

Acquired intangible assets, net (1)
11.3
 
$
200.3

 
$
(52.0
)
 
$
148.3

 
$
200.3

 
$
(48.1
)
 
$
152.2


(1)  Intangible assets have estimated remaining lives between one and fourteen years.
Summary of amortization of intangible assets
The table below shows the amortization expense related to intangible assets for the three months ended March 31, 2020 and March 31, 2019, respectively, and is included in Depreciation and amortization within the Condensed Consolidated Statements of Income:
 
Three Months Ended
(millions) (unaudited)
March 31, 2020
 
March 31, 2019
Amortization expense
$
3.9

 
$
3.8