506.82 is what percent of 2315 - 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 2315 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 2315, so we can write it down as 100%=2315.
4. We know, that x% equals 506.82 of the output value, so we can write it down as x%=506.82.
5. Now we have two simple equations:
1) 100%=2315
2) x%=506.82
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%=2315/506.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 506.82 is what percent of 2315

100%/x%=2315/506.82
(100/x)*x=(2315/506.82)*x       - we multiply both sides of the equation by x
100=4.5676966181287*x       - we divide both sides of the equation by (4.5676966181287) to get x
100/4.5676966181287=x
21.892872570194=x
x=21.892872570194

now we have:
506.82 is 21.892872570194% of 2315