If √x % of x is 80, then what is x?

To find the value of x, we translate the given statement into a mathematical equation:

(√x / 100) × x = 80

Combining the x terms using the law of exponents (x¹ × x^1/2 = x^3/2):
x^3/2 / 100 = 80
x^3/2 = 80 × 100
x^3/2 = 8000

To solve for x, we raise both sides to the power of 2/3:
x = (8000)^2/3
x = (³√8000)²

Since 20 × 20 × 20 = 8000, the cube root of 8000 is 20:
x = 20²
x = 400

Verification:
√400 % of 400 = 20% of 400 = (20/100) × 400 = 80. This confirms the answer is correct.