626.87 is what percent of 3978.53 - 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 3978.53 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 3978.53, so we can write it down as 100%=3978.53.
4. We know, that x% equals 626.87 of the output value, so we can write it down as x%=626.87.
5. Now we have two simple equations:
1) 100%=3978.53
2) x%=626.87
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%=3978.53/626.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 626.87 is what percent of 3978.53

100%/x%=3978.53/626.87
(100/x)*x=(3978.53/626.87)*x       - we multiply both sides of the equation by x
100=6.3466587968797*x       - we divide both sides of the equation by (6.3466587968797) to get x
100/6.3466587968797=x
15.75632205865=x
x=15.75632205865

now we have:
626.87 is 15.75632205865% of 3978.53