Question

What number is $32\mathrm{\%}$ of $75$ ?

Answer 1

Hint: In mathematics, the word 'percent' means out of $100$ or per $100$. A percentage is a number or ratio expressed as a fraction of $100$ . Therefore, to find the number that is $32\mathrm{\%}$ of $75$ we will use the unitary method. Therefore, we will take this case as if we are taking the number $32$ out of $100$ then the number which can be taken out of $75$ . This gives us the amount which is $32\mathrm{\%}$ of $75$

Complete step-by-step solution:
In the given problem we have to find the amount which is $32\mathrm{\%}$ of $75$ .
To get the required amount we have chosen to follow the unitary method.
In the unitary method we first define the condition that is already known to us and from that condition we find the value for the unit or $1$ . Thus, we find the value that is desired from the previous results.
To understand this in a better way we can make the first statement as
From $100$ we can take the number $32$ .
Hence, from $1$ we can take the number ${\displaystyle \frac{32}{100}}$ .
Now, if we consider the number $75$ we get the value ${\displaystyle \frac{32}{100}}\times 75$ .
Upon doing that we further simplify the above expression as
$={\displaystyle \frac{32}{100}}\times 75$
$=24$
Therefore, we reach to our conclusion that $24$ is $32\mathrm{\%}$ of $75$.

Note: Besides the unitary method we can also solve this problem by applying a direct formula which will give the amount of percentage of a given number. We will be able to directly obtain the answer from $x\times {\displaystyle \frac{y}{100}}$ , where $x$ is the given number and $y$ is the percentage of $x$ . For our case we get $75\times {\displaystyle \frac{32}{100}}=24$.