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Commitments and Contingencies (Tables)
12 Months Ended
Dec. 31, 2017
Commitments and Contingencies.  
Schedule of future minimum payments under the non-cancelable leases

Future minimum payments, by year and in the aggregate, under the non‑cancelable leases with initial or remaining terms of one year or more, consisted of the following as of December 31, 2017:

 

 

 

 

 

Operating

 

Leases

 

(in millions)

2018

$

62.7

2019

 

50.1

2020

 

35.1

2021

 

21.9

2022

 

13.6

Thereafter

 

17.7

 

$

201.1