25.8 is what percent of 228 - 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 228 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 228, so we can write it down as 100%=228.
4. We know, that x% equals 25.8 of the output value, so we can write it down as x%=25.8.
5. Now we have two simple equations:
1) 100%=228
2) x%=25.8
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%=228/25.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.8 is what percent of 228

100%/x%=228/25.8
(100/x)*x=(228/25.8)*x       - we multiply both sides of the equation by x
100=8.8372093023256*x       - we divide both sides of the equation by (8.8372093023256) to get x
100/8.8372093023256=x
11.315789473684=x
x=11.315789473684

now we have:
25.8 is 11.315789473684% of 228