13.77 is what percent of 5031 - 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 5031 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 5031, so we can write it down as 100%=5031.
4. We know, that x% equals 13.77 of the output value, so we can write it down as x%=13.77.
5. Now we have two simple equations:
1) 100%=5031
2) x%=13.77
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%=5031/13.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.77 is what percent of 5031

100%/x%=5031/13.77
(100/x)*x=(5031/13.77)*x       - we multiply both sides of the equation by x
100=365.35947712418*x       - we divide both sides of the equation by (365.35947712418) to get x
100/365.35947712418=x
0.2737030411449=x
x=0.2737030411449

now we have:
13.77 is 0.2737030411449% of 5031