77.18 is what percent of 697.5 - 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 697.5 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 697.5, so we can write it down as 100%=697.5.
4. We know, that x% equals 77.18 of the output value, so we can write it down as x%=77.18.
5. Now we have two simple equations:
1) 100%=697.5
2) x%=77.18
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%=697.5/77.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.18 is what percent of 697.5

100%/x%=697.5/77.18
(100/x)*x=(697.5/77.18)*x       - we multiply both sides of the equation by x
100=9.0373153666753*x       - we divide both sides of the equation by (9.0373153666753) to get x
100/9.0373153666753=x
11.06523297491=x
x=11.06523297491

now we have:
77.18 is 11.06523297491% of 697.5