77.5 is what percent of 700 - 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 700 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 700, so we can write it down as 100%=700.
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%=700
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%=700/77.5
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 700

100%/x%=700/77.5
(100/x)*x=(700/77.5)*x       - we multiply both sides of the equation by x
100=9.0322580645161*x       - we divide both sides of the equation by (9.0322580645161) to get x
100/9.0322580645161=x
11.071428571429=x
x=11.071428571429

now we have:
77.5 is 11.071428571429% of 700