Question

16 is what percent of $64$ ?

Answer 1

Hint: Here, we are asked how many percent of $64$ is $16$ . So we will assume one variable and form one equation then we will get the result by solving it.
Formula to be used:
 \[x\% \] of y = \[\dfrac{xy}{{100}}\]

Complete step by step answer:
Let $x$ be the required percentage.
Thus, $16$ is $x\% $ of $64$
That means, $16 = x\% $ of $64$
\[ \Rightarrow 16 = \dfrac{x}{{100}} \times 64\](Here we have applied \[x\%\] of y = \[\dfrac{xy}{{100}}\])
$ \Rightarrow 16 = \dfrac{{64x}}{{100}}$
$ \Rightarrow x = 16 \times \dfrac{{100}}{{64}}$ (Here we have taken $x$ to one side of the equation)
$ \Rightarrow x = \dfrac{{100}}{4}$ (We have canceled the like terms)
$ \Rightarrow x = 25$
Hence we got $x = 25$
Since we considered $16 = x\% of 64$, $16$ is twenty-five percent of $64$
Thus, we have got $16 = 25\% of64$

Note:
Generally, a percentage is a number or ratio that is expressed as a fraction of \[100\] and is often denoted by the symbol \[\% \]; a percentage also refers to out of \[100\].
A percentage is a dimensionless number and so it has no unit of measurement.