\dfrac{22}{25} of a number is what percentage of that number?


\[\%\]

1 answer

To find out what percentage \(\frac{22}{25}\) of a number is of that number, we can follow these steps:

  1. Let the number be represented as \(x\).
  2. We want to find the percentage of \(x\) that \(\frac{22}{25}x\) represents.

To do this, we can set up the equation:

\[ \text{Percentage} = \left( \frac{\frac{22}{25}x}{x} \right) \times 100% \]

  1. Simplifying the fraction:

\[ \frac{\frac{22}{25}x}{x} = \frac{22}{25} \]

  1. Now, multiply by 100%:

\[ \text{Percentage} = \frac{22}{25} \times 100% \]

  1. Calculate \(\frac{22}{25} \times 100\):

\[ \frac{22 \times 100}{25} = \frac{2200}{25} = 88 \]

Thus, \(\frac{22}{25}\) of a number is \(88%\) of that number.

The final answer is:

\[ \boxed{88} \]