89.75 is what percent of 116 - 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 116 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 116, so we can write it down as 100%=116.
4. We know, that x% equals 89.75 of the output value, so we can write it down as x%=89.75.
5. Now we have two simple equations:
1) 100%=116
2) x%=89.75
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%=116/89.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.75 is what percent of 116

100%/x%=116/89.75
(100/x)*x=(116/89.75)*x       - we multiply both sides of the equation by x
100=1.2924791086351*x       - we divide both sides of the equation by (1.2924791086351) to get x
100/1.2924791086351=x
77.370689655172=x
x=77.370689655172

now we have:
89.75 is 77.370689655172% of 116