Question

what is 30% of 120?

Answer 1

Hint: From the question we have been asked to find the $$30\mathrm{\%}$$ of $$120$$. For solving these kind of percentage questions, we will first convert the given percentage into numerical part after converting the percentage into numerical part we will use multiplication operation in mathematics and multiply the number $$120$$ to it and find the answer to the question.

Complete step-by-step solution:
Firstly, as we mentioned earlier, we will convert the given percentage into numerical parts.
For any number let it be as $$y$$. We can write the percentage of it which is $$y\mathrm{\%}$$ into a numerical part as follows.
$$\Rightarrow y\mathrm{\%}=y\times {\displaystyle \frac{1}{100}}$$
So, we will do the same to our given number which is $$30\mathrm{\%}$$.
So, the $$30\mathrm{\%}$$ can be rewritten into numerical parts as follows.
$$\Rightarrow 30\mathrm{\%}=30\times {\displaystyle \frac{1}{100}}$$
Now for finding the percentage of any number, we should use the multiplication operation in mathematics and multiply it to the number for which we want the percentage.
Now, in the question we are asked to find $$30\mathrm{\%}$$ of $$120$$. So, we will multiply $$\Rightarrow 30\mathrm{\%}=30\times {\displaystyle \frac{1}{100}}$$ to the integer $$120$$ and find the solution.
Now, $$30\mathrm{\%}$$ of $$120$$ can be written as follows.
$$\Rightarrow 30\times {\displaystyle \frac{1}{100}}\times 120$$
We will simplify the expression further by using the multiplication operation in mathematics.
So, we get expressions reduced as follows.
$$\Rightarrow {\displaystyle \frac{3600}{100}}$$
$$\Rightarrow 36$$
Therefore, the answer is$$\Rightarrow 36$$.

Note: Students must be very careful in doing the calculations. Students must have good knowledge in calculating the percentages and also should have knowledge in multiplication operation. For finding the percentage of a number we should multiply number to percentage but no divide that is if we do $$\Rightarrow {\displaystyle \frac{30\times {\displaystyle \frac{1}{100}}}{120}}$$ instead of $$\Rightarrow 30\times {\displaystyle \frac{1}{100}}\times 120$$ then our solution will be wrong.