11.56 is what percent of 2988.14 - 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 2988.14 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 2988.14, so we can write it down as 100%=2988.14.
4. We know, that x% equals 11.56 of the output value, so we can write it down as x%=11.56.
5. Now we have two simple equations:
1) 100%=2988.14
2) x%=11.56
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%=2988.14/11.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.56 is what percent of 2988.14

100%/x%=2988.14/11.56
(100/x)*x=(2988.14/11.56)*x       - we multiply both sides of the equation by x
100=258.48961937716*x       - we divide both sides of the equation by (258.48961937716) to get x
100/258.48961937716=x
0.38686273066188=x
x=0.38686273066188

now we have:
11.56 is 0.38686273066188% of 2988.14