2 is what percent of 11.39 - 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 11.39 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 11.39, so we can write it down as 100%=11.39.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=11.39
2) x%=2
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%=11.39/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 11.39

100%/x%=11.39/2
(100/x)*x=(11.39/2)*x       - we multiply both sides of the equation by x
100=5.695*x       - we divide both sides of the equation by (5.695) to get x
100/5.695=x
17.559262510975=x
x=17.559262510975

now we have:
2 is 17.559262510975% of 11.39