Question

Which of the following is equal to 16%​

Answer 1

if we had a value "z", and we'd like to know how much is 16% of "z", well

`\begin{array} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of z}}{\left( \cfrac{16}{100} \right)z}\implies 0.16z`

so we can use the "factor" of 0.16, to get the 16% of any value,

since 0.16 is the decimal representation of the percentage of 16.

hmmm what is 16% of 50 anyway?

`\begin{array}ll \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of 50}}{\left( \cfrac{16}{100} \right)50}\implies 8`8 out of 50

how much is 16% of 25 anyway?

`\begin{array}ll \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of 25}}{\left( \cfrac{16}{100} \right)25}\implies 4`4 out of 25

Answer 2

Answer:0.16=16%

Step-by-step explanation:
`(0.16)/(100)`

the 100 is directly under the point so the zero will cancel out leaving=
`(16)/(100)`

And
`(16)/(100)` equals to 16%