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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 

The following presents a summary of other intangible assets, net:
 
 
 
September 30, 2018 (unaudited)
 
December 31, 2017
(millions)
Weighted
Average
Life (Years)
 
Acquired
Intangible
Assets,
Gross (1)
 
Accumulated
Amortization
 
Acquired
Intangible
Assets,
Net
 
Acquired
Intangible
Assets,
Gross (1)
 
Accumulated
Amortization
 
Acquired
Intangible
Assets,
Net
Covenant not to compete
0.3
 
$
0.9

 
$
(0.9
)
 
$
—

 
$
0.9

 
$
(0.9
)
 
$
—

Trade names and trademarks
0.8
 
9.8

 
(9.7
)
 
0.1

 
9.8

 
(9.7
)
 
0.1

Proprietary know how
0.8
 
34.6

 
(34.6
)
 
—

 
34.6

 
(34.5
)
 
0.1

Management contract rights
10.2
 
81.0

 
(31.0
)
 
50.0

 
81.0

 
(27.1
)
 
53.9

Acquired intangible assets, net (2)
10.2
 
$
126.3

 
$
(76.2
)
 
$
50.1

 
$
126.3

 
$
(72.2
)
 
$
54.1


(1)  Excludes the original cost and accumulated amortization of fully amortized intangible assets.
(2)  Intangible assets have estimated useful lives between a half year and fourteen years.

The table below shows the amortization expense related to intangible assets for the three and nine months ended September 30, 2018 and September 30, 2017:
 
Three Months Ended
 
Nine Months Ended
(millions) (unaudited)
September 30, 2018
 
September 30, 2017
 
September 30, 2018

September 30, 2017
Amortization expense related to other intangible assets included in depreciation and amortization
$
1.3

 
$
1.4

 
$
4.0


$
5.9