296.28 is what percent of 1025.5 - 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 1025.5 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 1025.5, so we can write it down as 100%=1025.5.
4. We know, that x% equals 296.28 of the output value, so we can write it down as x%=296.28.
5. Now we have two simple equations:
1) 100%=1025.5
2) x%=296.28
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%=1025.5/296.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.28 is what percent of 1025.5

100%/x%=1025.5/296.28
(100/x)*x=(1025.5/296.28)*x       - we multiply both sides of the equation by x
100=3.4612528689078*x       - we divide both sides of the equation by (3.4612528689078) to get x
100/3.4612528689078=x
28.891272549976=x
x=28.891272549976

now we have:
296.28 is 28.891272549976% of 1025.5