Question

What percent is 24 of 96 ?

Answer 1

Hint: To calculate what percent is 24 of 96, we should use the definition of percentage, i.e., specific kind of values per 100 values. Then, we will need to use the technique of unitary method to find the required value. From a set of 96 values, we are interested in 24 of them. So, from 100 values, we will need ${\displaystyle \frac{24}{96}}\times 100$. Hence, we will get the required answer.

Complete step by step answer:
We know very well that the word ‘percentage’ is made up of a combination of 2 words, ‘per’, which means ‘for every’, and ‘cent’, which is equivalent to the number 100. Hence, we can clearly say that, percentage refers to the number of specific values per hundred values.
In our given problem, we need to find what percent is 24 of 96.
Let us assume $x\mathrm{\%}$ of 96 is 24.
According to the definition of percentage, $x$% means $x$ out of 100.
So, we can rephrase this as,
From 100, we need = $x$.
So, using unitary method, we can say that
From 1, we need = ${\displaystyle \frac{x}{100}}$
And thus,
From 96, we need = $${\displaystyle \frac{x}{100}}\times 96$$.
Thus, we now have,
$${\displaystyle \frac{x}{100}}\times 96=24$$
On simplifying, we can get
$${\displaystyle \frac{x}{100}}={\displaystyle \frac{24}{96}}$$
And thus,
$$x={\displaystyle \frac{24}{96}}\times 100$$
$\Rightarrow x={\displaystyle \frac{1}{4}}\times 100$
$\Rightarrow x=25$

Thus, we get that 25 % of 96 is 24.

Note: We should understand the concepts of unitary method to solve this problem. Alternatively, we can use the direct formula to solve this problem, which can be written as, A% of B = ${\displaystyle \frac{A}{100}}\times B$. Thus we get $({\displaystyle \frac{24}{96}}\times 100)\mathrm{\%}$.