Question

What percent of $180$ is $120$ ?

Answer 1

Hint: The two numbers that we are given are $180$ and $120$ . We need to find out what percent of $180$ is $120$ . For that, we have to divide $120$ by $180$ . What we get is a fraction. To define it in terms of percent, we need to multiply it by $100$ .


Complete step-by-step solution:
Fractions and percentages are different ways to express portions or parts of a substance. Percentages are nothing but fractions, but expressed out of $100$ . The term “percent” consists of two words, “per” and “cent” where per means “out of” and cent means “hundred”. Thus, it clearly makes sense what percentage or percent means. Percentage is a scale to express what portion of a substance or number is a given substance or number. The scale has the lowest value of zero percent, which means none and the upper value as hundred percent which means full.
To find out percent, we usually divide the portion by the parent number. For example, if we want to find out what percent is $2$ of $3$ , we need to divide $2$ by $3$ . Doing this, we get the fraction. Multiplying it with $100$ , we get the required percentage.
For the given problem, we need to find out what percent of $180$ is $120$ . The parent number here is $140$ and the portion is $120$ . We divide $120$ by $180$ . After that, we multiply by $100$ . Thus,
${\displaystyle \frac{120}{180}}\times 100\mathrm{\%}=66.67\mathrm{\%}$
Therefore, we can conclude that $120$ is $66.67\mathrm{\%}$ of $180$ .

Note: Percentage calculations are pretty easy and one should not commit mistakes here. Nevertheless, we should keep some points in mind. First is that we should put the percent sign in the final answer. And, we should divide the numbers in the correct order.