\dfrac{2}{5} of a number is what percentage of that number?

Answer 1

To find what percentage \(\frac{2}{5}\) of a number is of that number, we can set up the problem as follows:

Let the number be \( x \).

We start with \(\frac{2}{5}\) of \( x \): \[ \frac{2}{5} x \]

Next, we want to find out what percentage this is of \( x \). We express it as a fraction of \( x \): \[ \frac{\frac{2}{5} x}{x} \]

Simplifying this expression, we find: \[ \frac{2}{5} \]

To convert this fraction to a percentage, we multiply by 100: \[ \frac{2}{5} \times 100 = 40 \]

Thus, \(\frac{2}{5}\) of a number is \( \boxed{40} \) percent of that number.