15.23 is what percent of 517.88 - 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 517.88 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 517.88, so we can write it down as 100%=517.88.
4. We know, that x% equals 15.23 of the output value, so we can write it down as x%=15.23.
5. Now we have two simple equations:
1) 100%=517.88
2) x%=15.23
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%=517.88/15.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.23 is what percent of 517.88

100%/x%=517.88/15.23
(100/x)*x=(517.88/15.23)*x       - we multiply both sides of the equation by x
100=34.003939592909*x       - we divide both sides of the equation by (34.003939592909) to get x
100/34.003939592909=x
2.9408357148374=x
x=2.9408357148374

now we have:
15.23 is 2.9408357148374% of 517.88