78.9 is what percent of 85.9 - 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 85.9 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 85.9, so we can write it down as 100%=85.9.
4. We know, that x% equals 78.9 of the output value, so we can write it down as x%=78.9.
5. Now we have two simple equations:
1) 100%=85.9
2) x%=78.9
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%=85.9/78.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.9 is what percent of 85.9

100%/x%=85.9/78.9
(100/x)*x=(85.9/78.9)*x       - we multiply both sides of the equation by x
100=1.0887198986058*x       - we divide both sides of the equation by (1.0887198986058) to get x
100/1.0887198986058=x
91.850989522701=x
x=91.850989522701

now we have:
78.9 is 91.850989522701% of 85.9