Question

What is $20\%$ of 95?

Answer 1

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

Therefore, the value of $20\%\;$ of 95 is 19.

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