Question

What number is \[66\dfrac{2}{3}\% \] of $750$?

Answer 1

Hint:To solve this problem, we first have to convert \[66\dfrac{2}{3}\% \] into fractions. In order to do so, we have to write \[66\dfrac{2}{3}\] in terms of proper fraction. Then we will have to find the fraction of \[66\dfrac{2}{3}\] with $100$ in its denominator. Then we will simplify the obtained fraction into its simplest form. Then to find the number which is \[66\dfrac{2}{3}\% \] of $750$, we will multiply the obtained fraction of \[66\dfrac{2}{3}\% \] within $100$. This will give us the required answer. So, let us see how to solve the problem.


Complete step by step solution:
The given percentage is \[66\dfrac{2}{3}\% \].
Now, \[66\dfrac{2}{3}\] in the proper fraction is, $\dfrac{{200}}{3}$.
Therefore, we can write \[66\dfrac{2}{3}\% \] as $\dfrac{{200}}{3}\% $.
Now, the fraction of $\dfrac{{200}}{3}\% $ among $100$ is,
$\dfrac{{\dfrac{{200}}{3}}}{{100}}$
$ = \dfrac{{200}}{{300}} = \dfrac{2}{3}$
Therefore, the fraction of $\dfrac{{200}}{3}\% $ among $100$ in its simplest form is $\dfrac{2}{3}$.
Thus, the number that is \[66\dfrac{2}{3}\% \] of $750$is,
\[66\dfrac{2}{3}\% {\text{ of }}750\]
$ = \dfrac{{200}}{3}\% {\text{ of }}750$
$ = \dfrac{2}{3} \times 750$
$ = 500$
Therefore, the number that is \[66\dfrac{2}{3}\% \] of $750$ is $500$.

Note:
The percentage of any number or anything is the fraction or parts of that number within $100$ numbers or things. This is justified by the name that says per- cent, where cent means among per hundred objects or elements. Percentage is a very useful way to find the portion of anything or number, where remembering the exact number can be difficult, the percentage is a much simpler manner. Just like percentage there are also other measures like, per-thousand, per-million, and per-billion. Their names justifies that they are the count within every thousand, million and billion respectively.