13.87 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 13.87 of the output value, so we can write it down as x%=13.87.
5. Now we have two simple equations:
1) 100%=500
2) x%=13.87
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%=500/13.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.87 is what percent of 500

100%/x%=500/13.87
(100/x)*x=(500/13.87)*x       - we multiply both sides of the equation by x
100=36.04902667628*x       - we divide both sides of the equation by (36.04902667628) to get x
100/36.04902667628=x
2.774=x
x=2.774

now we have:
13.87 is 2.774% of 500