125.89 is what percent of 130 - 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 130 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 130, so we can write it down as 100%=130.
4. We know, that x% equals 125.89 of the output value, so we can write it down as x%=125.89.
5. Now we have two simple equations:
1) 100%=130
2) x%=125.89
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%=130/125.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.89 is what percent of 130

100%/x%=130/125.89
(100/x)*x=(130/125.89)*x       - we multiply both sides of the equation by x
100=1.0326475494479*x       - we divide both sides of the equation by (1.0326475494479) to get x
100/1.0326475494479=x
96.838461538462=x
x=96.838461538462

now we have:
125.89 is 96.838461538462% of 130