Algebra

Let's set the total value to be r. We have that

$r = \sqrt{x - \sqrt{x}}$

Squaring both sides, we get 

${r}^{2} = x - \sqrt{x}$

Now, let's note something important. Since both must be integers, we find that x must be a perfect square. 

Let's set $x={a}^{2}, a\ge0$

Subsituting this in, we find that

${r}^{2}={a}^{2}-a$

Let's notice that this isn't possible. There isn't a three digit value of x that satisfies this equation. 

Thus, our answer is none. 

I can elaborate if needed. 

Thanks! :)