120.78 is what percent of 503.28 - 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 503.28 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 503.28, so we can write it down as 100%=503.28.
4. We know, that x% equals 120.78 of the output value, so we can write it down as x%=120.78.
5. Now we have two simple equations:
1) 100%=503.28
2) x%=120.78
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%=503.28/120.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.78 is what percent of 503.28

100%/x%=503.28/120.78
(100/x)*x=(503.28/120.78)*x       - we multiply both sides of the equation by x
100=4.166915052161*x       - we divide both sides of the equation by (4.166915052161) to get x
100/4.166915052161=x
23.998569384835=x
x=23.998569384835

now we have:
120.78 is 23.998569384835% of 503.28