2831.5 is what percent of 11600 - 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 11600 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 11600, so we can write it down as 100%=11600.
4. We know, that x% equals 2831.5 of the output value, so we can write it down as x%=2831.5.
5. Now we have two simple equations:
1) 100%=11600
2) x%=2831.5
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%=11600/2831.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2831.5 is what percent of 11600

100%/x%=11600/2831.5
(100/x)*x=(11600/2831.5)*x       - we multiply both sides of the equation by x
100=4.0967684972629*x       - we divide both sides of the equation by (4.0967684972629) to get x
100/4.0967684972629=x
24.409482758621=x
x=24.409482758621

now we have:
2831.5 is 24.409482758621% of 11600