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Stockholders' equity (Tables)
 12 Months Ended
Dec. 31, 2019
Stockholders' equity [Abstract]  
Details of Other Components of Equity
Details of other components of equity as of December 31, 2019 and 2018, as follows:
 
  
Statutory
reserve
  
Defined benefit plan
  
Premium on
convertible
obligations
  
Translation
result
  
Revaluation
surplus
   
Total
 
Balance as of December 31, 2017
 
$
216,948
  
$
(136,218
)
 
$
77,106
  
$
(247,668
)
 
$
939,298
   
$
849,466
 
                          
Revaluation of assets
  
-
   
-
   
-
   
-
   
(161,411
)
   
(161,411
)
Defined benefit plan
  
-
   
15,430
   
-
   
-
   
-
    
15,430
 
Reclassification from disposal of properties and depreciation
  
-
   
-
   
-
   
-
   
(40,335
)
  (a)
  
(40,335
)
Total before taxes
  
-
   
15,430
   
-
   
-
   
(201,746
)
   
(186,316
)
                          
Tax expense
  
-
   
(4,629
)
  
-
   
-
   
48,423
    
43,794
 
Total net of taxes
  
-
   
10,801
   
-
   
-
   
(153,323
)
   
(142,522
)
Balance as of December 31, 2018
 
$
216,948
  
$
(125,417
)
 
$
77,106
  
$
(247,668
)
 
$
785,975
   
$
706,944
 

  
Statutory
reserve
  
Defined benefit plan
  
Premium on
convertible
obligations
  
Translation
result
  
Revaluation
surplus
   
Total
 
Revaluation of assets
 
$
-
  
$
-
  
$
-
  
$
-
  
$
379,420
   
$
379,420
 
Defined benefit plan
  
-
   
2,354
   
-
   
-
   
-
    
2,354
 
Reclassification from disposal of properties and depreciation
      
-
           
(202,228
)
(a)
  
(202,228
)
Total before taxes
  
-
   
2,354
   
-
   
-
   
177,192
    
179,546
 
                          
Tax expense
  
-
   
(706
)
  
-
   
-
   
(113,826
)
   
(114,532
)
Total net of taxes
  
-
   
1,648
   
-
   
-
   
63,366
    
65,014
 
Balance as of December 31, 2019
 
$
216,948
  
$
(123,769
)
 
$
77,106
  
$
(247,668
)
 
$
849,341
   
$
771,958
 
 

(a)
It corresponds to the reclassification of the revaluation surplus to accumulated losses from the sale of properties and disposals of vessels, as well as the depreciation for the period of revaluation of properties and vessels.