77.5 is what percent of 115 - 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 115 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 115, so we can write it down as 100%=115.
4. We know, that x% equals 77.5 of the output value, so we can write it down as x%=77.5.
5. Now we have two simple equations:
1) 100%=115
2) x%=77.5
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%=115/77.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.5 is what percent of 115

100%/x%=115/77.5
(100/x)*x=(115/77.5)*x       - we multiply both sides of the equation by x
100=1.4838709677419*x       - we divide both sides of the equation by (1.4838709677419) to get x
100/1.4838709677419=x
67.391304347826=x
x=67.391304347826

now we have:
77.5 is 67.391304347826% of 115