116.88 is what percent of 87.73 - 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 87.73 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 87.73, so we can write it down as 100%=87.73.
4. We know, that x% equals 116.88 of the output value, so we can write it down as x%=116.88.
5. Now we have two simple equations:
1) 100%=87.73
2) x%=116.88
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%=87.73/116.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.88 is what percent of 87.73

100%/x%=87.73/116.88
(100/x)*x=(87.73/116.88)*x       - we multiply both sides of the equation by x
100=0.75059890485969*x       - we divide both sides of the equation by (0.75059890485969) to get x
100/0.75059890485969=x
133.22694631255=x
x=133.22694631255

now we have:
116.88 is 133.22694631255% of 87.73