77.75 is what percent of 715.5 - 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 715.5 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 715.5, so we can write it down as 100%=715.5.
4. We know, that x% equals 77.75 of the output value, so we can write it down as x%=77.75.
5. Now we have two simple equations:
1) 100%=715.5
2) x%=77.75
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%=715.5/77.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.75 is what percent of 715.5

100%/x%=715.5/77.75
(100/x)*x=(715.5/77.75)*x       - we multiply both sides of the equation by x
100=9.2025723472669*x       - we divide both sides of the equation by (9.2025723472669) to get x
100/9.2025723472669=x
10.866526904263=x
x=10.866526904263

now we have:
77.75 is 10.866526904263% of 715.5