11.52 is what percent of 200.41 - 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 200.41 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 200.41, so we can write it down as 100%=200.41.
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%=200.41
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%=200.41/11.52
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 200.41

100%/x%=200.41/11.52
(100/x)*x=(200.41/11.52)*x       - we multiply both sides of the equation by x
100=17.396701388889*x       - we divide both sides of the equation by (17.396701388889) to get x
100/17.396701388889=x
5.7482161568784=x
x=5.7482161568784

now we have:
11.52 is 5.7482161568784% of 200.41