0.23/(1-0.23) = 29.87% you misrepresenter of facts.
te = (ti/(1-ti)) - and note that the tax exclusive rate (te) is the result of the calculation using only ti.
OR, put another way:
Cash Register Price = Item Price + (Item Price(0.23/(1-0,.23))).
One of us is "misrepresenting facts" all right ... but it's not me. The formula is well known and widely used.