Question

What is $80\%$ as a decimal?

Answer 1

Hint: To obtain the decimal value of a given percentage we will firstly remove the percentage sign and divide the value by 100. Then we will divide the numerator and denominator by the same value till we get its simplified form or we can say till we get a pair of co-prime numbers. Then we will divide the numerator by the denominator to get the answer in decimal form.

Complete step by step solution:
To obtain the decimal form of $80\%$ we will firstly remove the percentage sign and divide 80 by 100 as follows:
$80\%=\dfrac{80}{100}$
Now to simplify the above value we will divide the numerator and denominator by 10 as,
$\begin{align}
  & \Rightarrow \dfrac{\dfrac{80}{10}}{\dfrac{100}{10}} \\
 & \Rightarrow \dfrac{8}{10} \\
\end{align}$
We will simplify the above value further by dividing numerator and denominator by 2 and get,
$\begin{align}
  & \Rightarrow \dfrac{\dfrac{8}{2}}{\dfrac{10}{2}} \\
 & \Rightarrow \dfrac{4}{5} \\
\end{align}$
So now we can write $80\%$ as:
$\therefore 80\%=\dfrac{4}{5}$
Next step will be to divide 4 by 5 so we get,
$80\%=0.8$
Hence $80\%$ is written as $0.8$ in decimal.

Note: Percentage is a ratio which is expressed as a fraction of 100. It is denoted by the sign $\%$ which when removed divides the number by 100. Percentage also means a part per hundred of any term. It can be represented in fraction as well as in decimal form. To convert to decimal a simple way can be to move the decimal value 2 place to the left of the number it can be used when the number is already decimal values otherwise one can get confused where to start the counting from. Co-prime numbers are those who don’t have any common factor except 1.