Question

What percent of 60 is 18?

Answer 1

Hint: We need to find what percent of 60 is 18. For that, suppose x% of 60 is 18. Now, simply do cross multiplication and we will get the value of x in terms of %.

Complete step-by-step solution:
In this question, we need to be given two numbers 60 and 18. We are asked to determine the percentage of 60 that will make 60 equal to 18.
In mathematics, percentage is defined as a rate/number/amount in each 100. For example, if we write 50%, then it means 50 parts of something in 100 parts.
For converting a percentage to a fraction, we need to divide the given percent with 100 and remove the percent sign.
In our question, we have to find the percent that makes 60 equal to 18. Let that percent be$x\mathrm{\%}$.
Therefore, converting $x\mathrm{\%}$ to fraction we get,
$\Rightarrow x\mathrm{\%}={\displaystyle \frac{x}{100}}$
Now, to find the value of x we simply need to do cross multiplication.
$$\begin{gathered} 60=100\mathrm{\%} \\ 18=x\mathrm{\%} \end{gathered}$$
Therefore,
$$\begin{gathered} \Rightarrow {\displaystyle \frac{x\times 60}{100}}=18 \\ \Rightarrow x\mathrm{\%}={\displaystyle \frac{18\times 100}{60}}\mathrm{\%} \\ \Rightarrow x={\displaystyle \frac{600}{20}}\mathrm{\%} \\ \Rightarrow x=30\mathrm{\%} \end{gathered}$$
Hence, 30% of 60 is 18.

Note: Percent can be converted to fraction by dividing the given percent term with 100 and fraction can be converted into percentage by multiplying it with 100. Keep in mind that when you convert percent into fraction, you should remove the percent sign and only write the fraction term. Percentage is a dimensionless number and it has no unit of measurement.