11.5 is what percent of 43500 - 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 43500 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 43500, so we can write it down as 100%=43500.
4. We know, that x% equals 11.5 of the output value, so we can write it down as x%=11.5.
5. Now we have two simple equations:
1) 100%=43500
2) x%=11.5
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%=43500/11.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.5 is what percent of 43500

100%/x%=43500/11.5
(100/x)*x=(43500/11.5)*x       - we multiply both sides of the equation by x
100=3782.6086956522*x       - we divide both sides of the equation by (3782.6086956522) to get x
100/3782.6086956522=x
0.026436781609195=x
x=0.026436781609195

now we have:
11.5 is 0.026436781609195% of 43500