D. M. Evans is correct, the problem is that you have to know in advance the Fe2+/Fe3+ ratio, which you don't, or make some reasonable assumptions about it.
You have not provided us with a clear question. If your analyses are expressed as Fe2O3 (total Fe as Fe2O3), you can readily convert that to FeO (total) by using the factors given by D.M. Evans. But if the question involves splitting Fe2O3 (total Fe as Fe2O3) into its components of actual FeO and actual Fe2O3, you cannot do it. You need a different type of analysis. Typically XRF analysis provides either Fe2O3(total) or FeO(total). You need a different type of analysis, e.g. wet chemical.
Your analysis probably reflects Fe2O3 - assuming XRF analysis, when powders are fused in a flux at typically ~1000oC all Fe in the sample is oxidised to Fe3+ and expressed as Fe2O3. You could make a guesstimate from the mineralogy of your BIF with regard to the ratio of magnetite to hematite. If all magnetite, one has a ratio of 1:1 FeO:Fe2O3 and hematite totally Fe2O3. From the mineral proportions an estimate can be made to allocate the Fe2O3 of analysis into Fe2O3 and FeO as separate components.
Geoff Grantham; what is the point of estimating FeO and Fe2O3, when all of the other components are analysed accurately? Even obtaining real values of FeO and Fe2O3 might not be very meaningful if the BIF is weathered, unless the analysis is for estimating mine grades.
To estimate the Fe(II) content in samples, it is necessary to use special analytic techniques. For example, titrimetric analysis method. Mössbauer spectroscopy is also very effective, but this is not a routine method
In my experience with BIF in Brazil, this procedure did not work, because it is very common to have a hematite crystal that still has a magnetite core and in this case the hematite (martite) is magnetic. That is, knowing the FeO content does not help much.
In this case it was necessary to physically determine the content of magnetic and non-magnetic concentrate. We calculated the iron content in Fe2O3.