Question

How do you write \[\dfrac{{58}}{{80}}\] in a percentage?

Answer 1

Hint:To convert it into a percentage, we need to multiply with $100$ to get a solution. It’s common for every problem. It is easy to convert a fraction into percentage, but in the case of decimal value, we need first convert it into percentage form and then we have to convert it into percentage.

Complete step by step solution:
Let’s consider the given question,
\[\dfrac{{58}}{{80}}\]

Multiply it by 100 we get,
\[\dfrac{{58}}{{80}}*100 = 72.5\% \]

This is the required answer.

Additional information: Let consider a problem, convert $0.563$ in to percentage and now change this into fraction, we get $\dfrac{{563}}{{1000}}$, to convert it into percentage we have to multiply it with $100$ we get $56.3\% $.

This is our required answer. This is just another model which seems to be confusing and there are three different models in this topic. If you find time, go through all those problems.

Note: If the denominator is greater than numerator, then the value of percentage will be less than $100$. If the numerator is greater than the denominator, then the value of the percentage will be greater than $100$.

For instance, let us consider a problem, express $\dfrac{{50}}{{25}}$ into percentage?

The answer will be $200\% $. Here in the percentage topic, if the denominator value is very much greater than the numerator, the percentage value will be very small.

Here in the given problem, it's $2\% (\dfrac{1}{{50}})$ which is very small, when compared to the denominator value 50. If the denominator value is nearly greater than when compared to the numerator, then the percentage value will be large.