228.85 is what percent of 25.25 - 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 25.25 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 25.25, so we can write it down as 100%=25.25.
4. We know, that x% equals 228.85 of the output value, so we can write it down as x%=228.85.
5. Now we have two simple equations:
1) 100%=25.25
2) x%=228.85
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%=25.25/228.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 228.85 is what percent of 25.25

100%/x%=25.25/228.85
(100/x)*x=(25.25/228.85)*x       - we multiply both sides of the equation by x
100=0.11033428009613*x       - we divide both sides of the equation by (0.11033428009613) to get x
100/0.11033428009613=x
906.33663366337=x
x=906.33663366337

now we have:
228.85 is 906.33663366337% of 25.25