Answer

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**Hint:**For calculating the number, let’s assume that the number is $x$. Then, we will use the question as a condition to create an equation. After that we will do necessary calculation and will simplify the equation to get the required number.

**Complete step by step answer:**

Since, we already have the given percentage and percentage value in number as $32\%$ and $8$ respectively.

So, let’s suppose that the number is $x$.

Here, the condition given in the question is $32\%$ of a number$x$ is $8$. We can write the conditions in mathematical expression as:

$\Rightarrow x\times 32\%=8$

We can write percentage in terms of fraction one by hundred as:

$1\%=\dfrac{1}{100}$

So, the equation of condition will be as:

$\Rightarrow x\times \dfrac{32}{100}=8$

Now, we will do multiplication with $100$ both sides of above step as:

$\Rightarrow x\times \dfrac{32}{100}\times 100=8\times 100$

Here, equal like terms will be canceled out and multiplication of $8$ and $100$ will be $800$ as:

$\Rightarrow x\times 32=800$

Now, we will divide by \[32\] each side of the above step as:

\[\Rightarrow \dfrac{x\times 32}{32}=\dfrac{800}{32}\]

After division, equal like terms will be canceled out and we will have $25$ by division of $800$ and $32$ as:

\[\Rightarrow x=25\]

Hence, the required number is $25$.

**Note:**We can check that the solution is correct or not by using the equation of condition mentioned in the solution as:

$\Rightarrow x\times 32\%=8$

Here, we will substitute $25$ for $x$ as:

$\Rightarrow 25\times 32\%=8$

Now, we will solve the left hand side of the above equation as:

$\Rightarrow 25\times 32\%$

Here, we can convert the percentage into fraction to make calculation easy as:

$\Rightarrow 25\times \dfrac{32}{100}$

Now, we will do the multiplication of numerator as:

$\begin{align}

& \Rightarrow \dfrac{25\times 32}{100} \\

& \Rightarrow \dfrac{800}{100} \\

\end{align}$

After dividing, we will have:

$\Rightarrow 8$

And this is equal to the right hand side. Therefore, the solution is correct.

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