These currency prices are referred to as exchange rates. More specifically, these prices are
nominal exchange rates (not to be confused with
real exchange rates). Just as the price of a good or service can be given in dollars, in Euro, or in any other currency, an exchange rate for a currency can be stated relative to any other currency. You can see a variety of such exchange rates by going to various
finance web sites.
A US Dollar/Euro (USD/EUR) exchange rate, for example, gives the number of US dollars than can be bought with one Euro, or the number of US dollars per Euro. In this way, exchange rates have a numerator and a denominator, and the exchange rate represents how much numerator currency can be exchanged for one unit of denominator currency.