77.13 is what percent of 81.52 - 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 81.52 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 81.52, so we can write it down as 100%=81.52.
4. We know, that x% equals 77.13 of the output value, so we can write it down as x%=77.13.
5. Now we have two simple equations:
1) 100%=81.52
2) x%=77.13
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%=81.52/77.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.13 is what percent of 81.52

100%/x%=81.52/77.13
(100/x)*x=(81.52/77.13)*x       - we multiply both sides of the equation by x
100=1.0569168935563*x       - we divide both sides of the equation by (1.0569168935563) to get x
100/1.0569168935563=x
94.61481844946=x
x=94.61481844946

now we have:
77.13 is 94.61481844946% of 81.52