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Shareholders' equity (Tables)
9 Months Ended
Sep. 30, 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 nine months ended September 30, 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
(272
)
 

 
27,263

Issuance for share-based compensation plans

 

 
36,266

Ending balance as of September 30, 2018
74,092

 
7,186,521

 
87,608,306

 
 
 
 
 
 
Beginning balance as of December 31, 2016
75,625

 
7,186,521

 
87,250,897

Conversion of convertible preferred stock
(326
)
 

 
32,619

Issuance for share-based compensation plans

 

 
43,436

Ending balance as of September 30, 2017
75,299

 
7,186,521

 
87,326,952