13.92 is what percent of 56.92 - 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 56.92 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 56.92, so we can write it down as 100%=56.92.
4. We know, that x% equals 13.92 of the output value, so we can write it down as x%=13.92.
5. Now we have two simple equations:
1) 100%=56.92
2) x%=13.92
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%=56.92/13.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.92 is what percent of 56.92

100%/x%=56.92/13.92
(100/x)*x=(56.92/13.92)*x       - we multiply both sides of the equation by x
100=4.0890804597701*x       - we divide both sides of the equation by (4.0890804597701) to get x
100/4.0890804597701=x
24.455375966268=x
x=24.455375966268

now we have:
13.92 is 24.455375966268% of 56.92