A known number of equally valued gems are stolen from a vault. A week later an accomplice is captured. A math savvy detective interrogates the thief as follows:

D: How many accomplices were there?
T: I will not answer that.
D: What happened to the gems?
T: We split them evenly.
D: You must be lying.
T: I admit, to avoid a fight in the getaway car I took a share valued 20% above each of the others’.
D: Thank you. You just gave me the answer to my first question.

How many gems were stolen?