11577.38 is what percent of 29709.8 - 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 29709.8 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 29709.8, so we can write it down as 100%=29709.8.
4. We know, that x% equals 11577.38 of the output value, so we can write it down as x%=11577.38.
5. Now we have two simple equations:
1) 100%=29709.8
2) x%=11577.38
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%=29709.8/11577.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11577.38 is what percent of 29709.8

100%/x%=29709.8/11577.38
(100/x)*x=(29709.8/11577.38)*x       - we multiply both sides of the equation by x
100=2.5661937329517*x       - we divide both sides of the equation by (2.5661937329517) to get x
100/2.5661937329517=x
38.968219240789=x
x=38.968219240789

now we have:
11577.38 is 38.968219240789% of 29709.8