15 is what percent of 11895 - 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 11895 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 11895, so we can write it down as 100%=11895.
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%=11895
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%=11895/15
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 11895

100%/x%=11895/15
(100/x)*x=(11895/15)*x       - we multiply both sides of the equation by x
100=793*x       - we divide both sides of the equation by (793) to get x
100/793=x
0.12610340479193=x
x=0.12610340479193

now we have:
15 is 0.12610340479193% of 11895