11.39 is what percent of 212.4 - 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 212.4 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 212.4, so we can write it down as 100%=212.4.
4. We know, that x% equals 11.39 of the output value, so we can write it down as x%=11.39.
5. Now we have two simple equations:
1) 100%=212.4
2) x%=11.39
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%=212.4/11.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.39 is what percent of 212.4

100%/x%=212.4/11.39
(100/x)*x=(212.4/11.39)*x       - we multiply both sides of the equation by x
100=18.647936786655*x       - we divide both sides of the equation by (18.647936786655) to get x
100/18.647936786655=x
5.3625235404896=x
x=5.3625235404896

now we have:
11.39 is 5.3625235404896% of 212.4