\dfrac{23}{50} of a number is what percentage of that number?

Answer 1

To find what percentage \(\frac{23}{50}\) of a number is, we can set up the following relationship. Let's denote the number as \(x\).

We know that:

\[ \frac{23}{50} \text{ of } x = \frac{23}{50} x \]

To express \(\frac{23}{50}\) of \(x\) as a percentage of \(x\), we want to find:

\[ \text{Percentage} = \left( \frac{\frac{23}{50} x}{x} \right) \times 100% \]

Since \(x\) is in both the numerator and the denominator, it cancels out:

\[ \text{Percentage} = \left( \frac{23}{50} \right) \times 100% \]

Next, we calculate \(\frac{23}{50} \times 100% \):

\[ \frac{23 \times 100}{50} = \frac{2300}{50} = 46% \]

Thus, \(\frac{23}{50}\) of a number is \( \boxed{46%} \) of that number.