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Guaranteed analysis?

I've got containers of magnesium sulphate, potassium sulphate and potassium 
nitrate that I bought from Homegrown Hydroponics.  The sides of the 
containers contain minimum analysis numbers.  What do these numbers 
mean?  For example: potassium nitrate (KNO3) contains a minimum of nitrogen 
(N) of 12% and soluble potash (K2O) of 44%.  The nitrogen I understand but 
how did we get from K_O3 to K2O?  Is K2O in this mix in addition to 
KNO3?  Similarly potassium sulphate (K2SO4) contains a minimum of soluble 
potash (K2O) of 54%.  Magnesium sulphate (MgSO4) contains a minimum of 
magnesium of 10% and sulphur of 13%.  I think these last two minimums are 
the relationship between the atomic weights of magnesium and sulphur.  But 
why no reference to soluble potash as there was in potassium sulphate?