11.9 is what percent of 51.8 - 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 51.8 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 51.8, so we can write it down as 100%=51.8.
4. We know, that x% equals 11.9 of the output value, so we can write it down as x%=11.9.
5. Now we have two simple equations:
1) 100%=51.8
2) x%=11.9
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%=51.8/11.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.9 is what percent of 51.8

100%/x%=51.8/11.9
(100/x)*x=(51.8/11.9)*x       - we multiply both sides of the equation by x
100=4.3529411764706*x       - we divide both sides of the equation by (4.3529411764706) to get x
100/4.3529411764706=x
22.972972972973=x
x=22.972972972973

now we have:
11.9 is 22.972972972973% of 51.8