To find out what percentage \(\dfrac{3}{10}\) of a number is of that number, we can start by letting the number be denoted as \(x\).
We can express \(\dfrac{3}{10}\) of \(x\) as:
\[ \dfrac{3}{10} \cdot x \]
Now, we want to find out what percentage this value is of \(x\). To do this, we can use the formula for percentage:
\[ \text{Percentage} = \left( \dfrac{\text{part}}{\text{whole}} \right) \times 100% \]
In this case, the "part" is \(\dfrac{3}{10} \cdot x\) and the "whole" is \(x\). Therefore, we have:
\[ \text{Percentage} = \left( \dfrac{\dfrac{3}{10} \cdot x}{x} \right) \times 100% \]
Now, we can simplify this expression:
\[ \text{Percentage} = \left( \dfrac{3}{10} \right) \times 100% = \dfrac{3 \times 100}{10} = \dfrac{300}{10} = 30% \]
Thus, \(\dfrac{3}{10}\) of a number is \(30%\) of that number.
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