15 is what percent of 8589 - 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 8589 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 8589, so we can write it down as 100%=8589.
4. We know, that x% equals 15 of the output value, so we can write it down as x%=15.
5. Now we have two simple equations:
1) 100%=8589
2) x%=15
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%=8589/15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15 is what percent of 8589

100%/x%=8589/15
(100/x)*x=(8589/15)*x       - we multiply both sides of the equation by x
100=572.6*x       - we divide both sides of the equation by (572.6) to get x
100/572.6=x
0.17464198393294=x
x=0.17464198393294

now we have:
15 is 0.17464198393294% of 8589