Let the total number of people at the stadium be represented by \( x \).
According to the problem, 10% of the total number of people is equal to the number of teenagers, which is given as 250. Therefore, we can write the equation:
\[ 0.1x = 250 \]
To find \( x \), we need to solve this equation. We can do this by dividing both sides by 0.1:
\[ x = \frac{250}{0.1} \]
Calculating the right-hand side gives:
\[ x = 2500 \]
Thus, the total number of people at the stadium is \( \boxed{2500} \).