431.28 is what percent of 538 - 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 538 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 538, so we can write it down as 100%=538.
4. We know, that x% equals 431.28 of the output value, so we can write it down as x%=431.28.
5. Now we have two simple equations:
1) 100%=538
2) x%=431.28
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%=538/431.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 431.28 is what percent of 538

100%/x%=538/431.28
(100/x)*x=(538/431.28)*x       - we multiply both sides of the equation by x
100=1.2474494527917*x       - we divide both sides of the equation by (1.2474494527917) to get x
100/1.2474494527917=x
80.163568773234=x
x=80.163568773234

now we have:
431.28 is 80.163568773234% of 538