11.32 is what percent of 28.68 - 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 28.68 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 28.68, so we can write it down as 100%=28.68.
4. We know, that x% equals 11.32 of the output value, so we can write it down as x%=11.32.
5. Now we have two simple equations:
1) 100%=28.68
2) x%=11.32
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%=28.68/11.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.32 is what percent of 28.68

100%/x%=28.68/11.32
(100/x)*x=(28.68/11.32)*x       - we multiply both sides of the equation by x
100=2.5335689045936*x       - we divide both sides of the equation by (2.5335689045936) to get x
100/2.5335689045936=x
39.470013947001=x
x=39.470013947001

now we have:
11.32 is 39.470013947001% of 28.68