28.8 is what percent of 114.4 - 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 114.4 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 114.4, so we can write it down as 100%=114.4.
4. We know, that x% equals 28.8 of the output value, so we can write it down as x%=28.8.
5. Now we have two simple equations:
1) 100%=114.4
2) x%=28.8
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:
100%/x%=114.4/28.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.8 is what percent of 114.4

100%/x%=114.4/28.8
(100/x)*x=(114.4/28.8)*x       - we multiply both sides of the equation by x
100=3.9722222222222*x       - we divide both sides of the equation by (3.9722222222222) to get x
100/3.9722222222222=x
25.174825174825=x
x=25.174825174825

now we have:
28.8 is 25.174825174825% of 114.4