Question

What is $20\mathrm{\%}$ of 95?

Answer 1

Hint: We need to find out $20\mathrm{\%}$ of 95. Firstly, we start to solve the problem by expressing 20 percent in the form of a fraction. Then, we multiply the fraction with the number 95 to get the desired result.

Complete step by step solution:
Let the value of $20\mathrm{\%}$ be $n$
We are asked to find out of n. We will be solving the given question by finding out the product of $20\mathrm{\%}$ and 95.
A percentage is a value expressed as a fraction of a hundred or ${\displaystyle \frac{1}{100}}$ . It is denoted by the symbol
 ’$\mathrm{\%}$’. The value expressed as a percentage does not have any dimension or unit of measurement.
For Example:
$\Rightarrow 2\mathrm{\%},3\mathrm{\%}$
According to the question,
We are required to express $20\mathrm{\%}$ in the form of a fraction.
$\Rightarrow 20\mathrm{\%}$
The word percent means ‘per hundred’.
Dividing the given percentage with hundred, we get,
$\Rightarrow 20\times {\displaystyle \frac{1}{100}}$
$\Rightarrow {\displaystyle \frac{20}{100}}$
Expressing the above fraction as the product of factors, we get,
$\Rightarrow {\displaystyle \frac{(20\times 1)}{(20\times 5)}}$
Cancelling the common factors, we get,
$\Rightarrow {\displaystyle \frac{1}{5}}$
$\therefore 20\mathrm{\%}={\displaystyle \frac{1}{5}}$
Now,
We need to multiply the value of $20\mathrm{\%}$ with the number 95 to get the value of $n$ .
Writing the same, we get,
$\Rightarrow n={\displaystyle \frac{1}{5}}\times 95$
Cancelling out the common factors, we get,
$\therefore n=19$

Therefore, the value of $20\mathrm{\%}$ of 95 is 19.

Note: The given question can be solved alternatively as follows,
The output value is 95.
The value of $20\mathrm{\%}$ of 95 be $x$ .
Forming simple equations for the above sentences, we get,
$\Rightarrow 95=100\mathrm{\%}$
$\Rightarrow x=20\mathrm{\%}$
Dividing the above simple equations, we get,
$\Rightarrow {\displaystyle \frac{95}{x}}={\displaystyle \frac{100\mathrm{\%}}{20\mathrm{\%}}}$
$\Rightarrow {\displaystyle \frac{95}{x}}={\displaystyle \frac{100}{20}}$
Taking the reciprocal on both sides, we get,
$\Rightarrow {\displaystyle \frac{x}{95}}={\displaystyle \frac{20}{100}}$
Isolating the variable $x$ by cross multiplying,
$\Rightarrow x={\displaystyle \frac{(95\times 20)}{100}}$
Simplifying the above equation, we get,
$\Rightarrow x={\displaystyle \frac{1900}{100}}$
Cancelling out the common factors, we get,
$\therefore x=19$