15 is what percent of 3688 - 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 3688 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 3688, so we can write it down as 100%=3688.
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%=3688
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%=3688/15
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 3688

100%/x%=3688/15
(100/x)*x=(3688/15)*x       - we multiply both sides of the equation by x
100=245.86666666667*x       - we divide both sides of the equation by (245.86666666667) to get x
100/245.86666666667=x
0.40672451193059=x
x=0.40672451193059

now we have:
15 is 0.40672451193059% of 3688