128.3 is what percent of 138.92 - 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 138.92 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 138.92, so we can write it down as 100%=138.92.
4. We know, that x% equals 128.3 of the output value, so we can write it down as x%=128.3.
5. Now we have two simple equations:
1) 100%=138.92
2) x%=128.3
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%=138.92/128.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 128.3 is what percent of 138.92

100%/x%=138.92/128.3
(100/x)*x=(138.92/128.3)*x       - we multiply both sides of the equation by x
100=1.0827747466875*x       - we divide both sides of the equation by (1.0827747466875) to get x
100/1.0827747466875=x
92.35531241002=x
x=92.35531241002

now we have:
128.3 is 92.35531241002% of 138.92