Question

What is the \[18\] \[\% \] of \[95\] ?

Answer 1

Hint: A Percentage is a number or ratio expressed as a fraction of \[100\] . It is often denoted by using \[\% \] . In other words , anything out of a hundred becomes a percentage . Percentage is basically a fraction with denominator \[100\]. Basically we need to calculate what is the equivalent value of \[\dfrac{{18}}{{100}}\] th part of \[95\].
FORMULA USED :
Percentage = \[\dfrac{{part}}{{base}} \times 100\]\[\% \]
= \[\dfrac{{given\,value}}{{total\,value}} \times 100\,\% \]

Complete step-by-step answer:
The word percent is derived from Latin word “per centum” meaning per hundred . The term percent represents how many parts of out of hundred quantities . In other words percentages are a fraction with a hundred in denominator .
Percentage is a dimensionless number .
Example : \[15\% \] means \[15\] out of \[100\] .
Percentage = \[\dfrac{{part}}{{base}} \times 100\]\[\% \]
Example : \[15\] is \[50\% \] of \[30\] .
\[\dfrac{{15}}{{30}} \times 100\,\% \] = \[50\% \]
Here \[15\] is the part.
\[50\] is the percent .
\[30\] is the base .
In the given question we are given percent and base we need to obtain part .
Here percent is \[18\] and \[95\] is the base . Now we will find the part .
By putting the value of percent and base in the percentage equation we get
\[18\,\% \]=\[\dfrac{{part}}{{95}} \times 100\,\% \]
So we can write \[18\,\]= \[\dfrac{{part}}{{95}} \times 100\,\]
After cross multiplication and simplification we get
\[part\] = \[\dfrac{{18 \times 95}}{{100}}\]
=\[\dfrac{{1710}}{{100}}\]
So finally we get our desired value = \[17.10\]
So \[17.10\] is the \[18\] \[\% \] of \[95\] .
This is our answer .
So, the correct answer is “ \[17.10\]”.

Note: We can cross check the answer by putting the answer in place of part in the formula of percentage and putting \[95\] in place of base . Another quick but not accurate way is we can see that \[95\] is less than \[100\] . \[18\] \[\% \] means \[18\] out of \[100\] . So \[18\] \[\% \] of \[95\] will be less than \[18\] in number .