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Shareholders' equity (Tables)
3 Months Ended
Mar. 31, 2018
Stockholders' Equity Note [Abstract]  
Common and Preferred Stock Activity
The Common and Preferred Stock table below contains additional information about preferred stock conversions during the three months ended March 31, 2018 and 2017.
 
Preferred stock
 
  Common stock
Common and Preferred Stock Activity (in shares):
Series A convertible
 
   Treasury
 
  Outstanding
Beginning balance as of December 31, 2017
74,364

 
7,186,521

 
87,544,777

Conversion of convertible preferred stock
(133
)
 

 
13,343

Issuance for share-based compensation plans

 

 
17,749

Ending balance as of March 31, 2018
74,231

 
7,186,521

 
87,575,869

 
 
 
 
 
 
Beginning balance as of December 31, 2016
75,625

 
7,186,521

 
87,250,897

Conversion of convertible preferred stock
(48
)
 

 
4,795

Issuance for share-based compensation plans

 

 
6,423

Ending balance as of March 31, 2017
75,577

 
7,186,521

 
87,262,115