What is 24.8 percent of 31.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 31.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 31.2 is 100%, so we can write it down as 31.2=100%.
4. We know, that x is 24.8% of the output value, so we can write it down as x=24.8%.
5. Now we have two simple equations:
1) 31.2=100%
2) x=24.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
31.2/x=100%/24.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 24.8% of 31.2

31.2/x=100/24.8
(31.2/x)*x=(100/24.8)*x       - we multiply both sides of the equation by x
31.2=4.0322580645161*x       - we divide both sides of the equation by (4.0322580645161) to get x
31.2/4.0322580645161=x
7.7376=x
x=7.7376

now we have:
24.8% of 31.2=7.7376