Question

What percent of days is \[3\] hours?

Answer 1

Hint: In order to determine the percent of days by the percentage formula is \[p(\% ) = \dfrac{x}{y} \times 100\] Percent or Percentage (%) is a number or ratio that can be expressed as a fraction of \[100\] . A ratio expresses the number of times one number is contained in another. Meanwhile, the fraction is part of a whole number. Fractions are usually written as a series of numbers separated by a line — for example \[\dfrac{1}{4}\] .

Complete step-by-step answer:
Calculating percentages is a simple mathematical procedure. If you need to find a ratio or a component of a quantity as a proportion of another quantity, you can express it as a percentage.
To find out the percent of a given number, we can use the following formula:
 \[p(\% ) = \dfrac{x}{y} \times 100\]
Where:
 \[x\] = Number for which percentage is to be found out;
 \[y\] = Total or whole number of given data
We know that there are total \[24\] hours in a day. Hence, comparing with above formula, we get
 \[y = 24\]
We are given that \[x = 3\] . Hence, substituting the values in the formula, we get,
 \[p(\% ) = \dfrac{3}{{24}} \times 100\]
 \[p(\% ) = 12.5\% \]
Hence \[12.5\% \] of a day is equal to \[3\] hours.
So, the correct answer is “ \[12.5\% \] ”.

Note: Alternate way to find out the percentage if finding the fraction first and then multiplying it by \[100\] without using the formula.
In the given sum, first we find out the fraction which will be \[\dfrac{3}{{24}} = 0.125\] .
Next, we will multiply it by \[100\] .
 \[p(\% ) = 0.125 \times 100\]
Hence, we will get the percentage:
 \[p(\% ) = 12.5\% \]
Remember to use the “ \[\% \] ” sign after finding out the percentage.
Percentages play an important role in our everyday lives. It's useful when we're writing fractions. Furthermore, percentages are easier to compare than fractions.