11.52 is what percent of 18505 - 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 18505 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 18505, so we can write it down as 100%=18505.
4. We know, that x% equals 11.52 of the output value, so we can write it down as x%=11.52.
5. Now we have two simple equations:
1) 100%=18505
2) x%=11.52
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%=18505/11.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.52 is what percent of 18505

100%/x%=18505/11.52
(100/x)*x=(18505/11.52)*x       - we multiply both sides of the equation by x
100=1606.3368055556*x       - we divide both sides of the equation by (1606.3368055556) to get x
100/1606.3368055556=x
0.062253445014861=x
x=0.062253445014861

now we have:
11.52 is 0.062253445014861% of 18505