515.91 is what percent of 2167.95 - 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 2167.95 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 2167.95, so we can write it down as 100%=2167.95.
4. We know, that x% equals 515.91 of the output value, so we can write it down as x%=515.91.
5. Now we have two simple equations:
1) 100%=2167.95
2) x%=515.91
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%=2167.95/515.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 515.91 is what percent of 2167.95

100%/x%=2167.95/515.91
(100/x)*x=(2167.95/515.91)*x       - we multiply both sides of the equation by x
100=4.2021864278653*x       - we divide both sides of the equation by (4.2021864278653) to get x
100/4.2021864278653=x
23.797135542794=x
x=23.797135542794

now we have:
515.91 is 23.797135542794% of 2167.95