76.4 is what percent of 85 - 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 85 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 85, so we can write it down as 100%=85.
4. We know, that x% equals 76.4 of the output value, so we can write it down as x%=76.4.
5. Now we have two simple equations:
1) 100%=85
2) x%=76.4
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%=85/76.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.4 is what percent of 85

100%/x%=85/76.4
(100/x)*x=(85/76.4)*x       - we multiply both sides of the equation by x
100=1.1125654450262*x       - we divide both sides of the equation by (1.1125654450262) to get x
100/1.1125654450262=x
89.882352941176=x
x=89.882352941176

now we have:
76.4 is 89.882352941176% of 85