5.19 is what percent of 12.5 - 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 12.5 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 12.5, so we can write it down as 100%=12.5.
4. We know, that x% equals 5.19 of the output value, so we can write it down as x%=5.19.
5. Now we have two simple equations:
1) 100%=12.5
2) x%=5.19
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%=12.5/5.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.19 is what percent of 12.5

100%/x%=12.5/5.19
(100/x)*x=(12.5/5.19)*x       - we multiply both sides of the equation by x
100=2.4084778420039*x       - we divide both sides of the equation by (2.4084778420039) to get x
100/2.4084778420039=x
41.52=x
x=41.52

now we have:
5.19 is 41.52% of 12.5