13.92 is what percent of 26.87 - 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 26.87 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 26.87, so we can write it down as 100%=26.87.
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%=26.87
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%=26.87/13.92
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 26.87

100%/x%=26.87/13.92
(100/x)*x=(26.87/13.92)*x       - we multiply both sides of the equation by x
100=1.930316091954*x       - we divide both sides of the equation by (1.930316091954) to get x
100/1.930316091954=x
51.804986974321=x
x=51.804986974321

now we have:
13.92 is 51.804986974321% of 26.87