As we have seen that fraction means out of every one. Like $\frac{3}{4}\ of\ 12$ candies means $3$ out of $4$ parts of each candy. Since there are $12$ candies we have $\frac{3}{4} + \frac{3}{4} + \frac{3}{4}\ldots\ 12\ times$ which is equal to $\frac{3}{4} \times 12 = 9$.
Similarly $percent$ means $out\ of\ every\ hundred$. Percentage is represented using the symbol $\%$.
So, $10\%$ means $10\ out\ of\ every\ hundred$
When we represent $10\%$ as fraction we should get $\dfrac{10}{100} = \dfrac{1}{10}$
So, if you have $50$ candies, and you want to give $30\%$ of them to your friend. How many are you going to give?
Out of every $100$ candies you will give $30$ candies.
Out of every $1$ candy you will give $\frac{30}{100}$ candies.
Out of $50$ candies you will give $\frac{30}{100} \times 50 = 15$ candies.
Here are a couple of examples of how to solve percentage problems.
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II. Examples
We encourage you to try each of these problems yourself before viewing the solution.
$\underline{\text{Example 1:}}$
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$\underline{\text{Example 2:}}$
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