89.15 is what percent of 112.75 - 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 112.75 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 112.75, so we can write it down as 100%=112.75.
4. We know, that x% equals 89.15 of the output value, so we can write it down as x%=89.15.
5. Now we have two simple equations:
1) 100%=112.75
2) x%=89.15
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%=112.75/89.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.15 is what percent of 112.75

100%/x%=112.75/89.15
(100/x)*x=(112.75/89.15)*x       - we multiply both sides of the equation by x
100=1.2647223780146*x       - we divide both sides of the equation by (1.2647223780146) to get x
100/1.2647223780146=x
79.068736141907=x
x=79.068736141907

now we have:
89.15 is 79.068736141907% of 112.75