115.25 is what percent of 2387.5 - 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 2387.5 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 2387.5, so we can write it down as 100%=2387.5.
4. We know, that x% equals 115.25 of the output value, so we can write it down as x%=115.25.
5. Now we have two simple equations:
1) 100%=2387.5
2) x%=115.25
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%=2387.5/115.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.25 is what percent of 2387.5

100%/x%=2387.5/115.25
(100/x)*x=(2387.5/115.25)*x       - we multiply both sides of the equation by x
100=20.715835140998*x       - we divide both sides of the equation by (20.715835140998) to get x
100/20.715835140998=x
4.8272251308901=x
x=4.8272251308901

now we have:
115.25 is 4.8272251308901% of 2387.5