Also hardness (expressed as ppm CaCO3) is not exactly the same as ppm of the ions.
Hardness = (Ca ppm) * 2.5 + (Mg ppm) *4
Your formula is for permanent hardness. Would be around 32 ppm Ca and 5 ppm Mg. But do we know that the 100 ppm is permanent hardness?
Total hardness is what is I posted above, and is the concentration of Ca and Mg. Alkalinity is carbonates. Temporary hardness is the portion of Ca and Mg that is balanced by carbonates and can be removed by boiling. Permanent hardness is the rest, what cannot be removed by boiling.
Total hardness is what Mitch is talking about, I assume.