120.33 is what percent of 78.18 - 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 78.18 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 78.18, so we can write it down as 100%=78.18.
4. We know, that x% equals 120.33 of the output value, so we can write it down as x%=120.33.
5. Now we have two simple equations:
1) 100%=78.18
2) x%=120.33
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%=78.18/120.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.33 is what percent of 78.18

100%/x%=78.18/120.33
(100/x)*x=(78.18/120.33)*x       - we multiply both sides of the equation by x
100=0.64971328845674*x       - we divide both sides of the equation by (0.64971328845674) to get x
100/0.64971328845674=x
153.91404451266=x
x=153.91404451266

now we have:
120.33 is 153.91404451266% of 78.18