5.13 is what percent of 39.8 - 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 39.8 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 39.8, so we can write it down as 100%=39.8.
4. We know, that x% equals 5.13 of the output value, so we can write it down as x%=5.13.
5. Now we have two simple equations:
1) 100%=39.8
2) x%=5.13
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%=39.8/5.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.13 is what percent of 39.8

100%/x%=39.8/5.13
(100/x)*x=(39.8/5.13)*x       - we multiply both sides of the equation by x
100=7.7582846003899*x       - we divide both sides of the equation by (7.7582846003899) to get x
100/7.7582846003899=x
12.889447236181=x
x=12.889447236181

now we have:
5.13 is 12.889447236181% of 39.8