138.98 is what percent of 130.99 - 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 130.99 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 130.99, so we can write it down as 100%=130.99.
4. We know, that x% equals 138.98 of the output value, so we can write it down as x%=138.98.
5. Now we have two simple equations:
1) 100%=130.99
2) x%=138.98
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%=130.99/138.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.98 is what percent of 130.99

100%/x%=130.99/138.98
(100/x)*x=(130.99/138.98)*x       - we multiply both sides of the equation by x
100=0.94250971362786*x       - we divide both sides of the equation by (0.94250971362786) to get x
100/0.94250971362786=x
106.09970226735=x
x=106.09970226735

now we have:
138.98 is 106.09970226735% of 130.99