48.59 is what percent of 515.63 - 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 515.63 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 515.63, so we can write it down as 100%=515.63.
4. We know, that x% equals 48.59 of the output value, so we can write it down as x%=48.59.
5. Now we have two simple equations:
1) 100%=515.63
2) x%=48.59
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%=515.63/48.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.59 is what percent of 515.63

100%/x%=515.63/48.59
(100/x)*x=(515.63/48.59)*x       - we multiply both sides of the equation by x
100=10.611854291006*x       - we divide both sides of the equation by (10.611854291006) to get x
100/10.611854291006=x
9.4234237728604=x
x=9.4234237728604

now we have:
48.59 is 9.4234237728604% of 515.63