130.2 is what percent of 138.6 - 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 138.6 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 138.6, so we can write it down as 100%=138.6.
4. We know, that x% equals 130.2 of the output value, so we can write it down as x%=130.2.
5. Now we have two simple equations:
1) 100%=138.6
2) x%=130.2
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%=138.6/130.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.2 is what percent of 138.6

100%/x%=138.6/130.2
(100/x)*x=(138.6/130.2)*x       - we multiply both sides of the equation by x
100=1.0645161290323*x       - we divide both sides of the equation by (1.0645161290323) to get x
100/1.0645161290323=x
93.939393939394=x
x=93.939393939394

now we have:
130.2 is 93.939393939394% of 138.6