312.36 is what percent of 11100 - 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 11100 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 11100, so we can write it down as 100%=11100.
4. We know, that x% equals 312.36 of the output value, so we can write it down as x%=312.36.
5. Now we have two simple equations:
1) 100%=11100
2) x%=312.36
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%=11100/312.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.36 is what percent of 11100

100%/x%=11100/312.36
(100/x)*x=(11100/312.36)*x       - we multiply both sides of the equation by x
100=35.535920092201*x       - we divide both sides of the equation by (35.535920092201) to get x
100/35.535920092201=x
2.8140540540541=x
x=2.8140540540541

now we have:
312.36 is 2.8140540540541% of 11100