130.3 is what percent of 138.2 - 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 138.2 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 138.2, so we can write it down as 100%=138.2.
4. We know, that x% equals 130.3 of the output value, so we can write it down as x%=130.3.
5. Now we have two simple equations:
1) 100%=138.2
2) x%=130.3
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%=138.2/130.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.3 is what percent of 138.2

100%/x%=138.2/130.3
(100/x)*x=(138.2/130.3)*x       - we multiply both sides of the equation by x
100=1.0606293169609*x       - we divide both sides of the equation by (1.0606293169609) to get x
100/1.0606293169609=x
94.283646888567=x
x=94.283646888567

now we have:
130.3 is 94.283646888567% of 138.2