24.78 is what percent of 86.5 - 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 86.5 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 100% equals 86.5, so we can write it down as 100%=86.5.
4. We know, that x% equals 24.78 of the output value, so we can write it down as x%=24.78.
5. Now we have two simple equations:
1) 100%=86.5
2) x%=24.78
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:
100%/x%=86.5/24.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.78 is what percent of 86.5

100%/x%=86.5/24.78
(100/x)*x=(86.5/24.78)*x       - we multiply both sides of the equation by x
100=3.4907183212268*x       - we divide both sides of the equation by (3.4907183212268) to get x
100/3.4907183212268=x
28.647398843931=x
x=28.647398843931

now we have:
24.78 is 28.647398843931% of 86.5