18.72 is what percent of 125 - 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 125 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 125, so we can write it down as 100%=125.
4. We know, that x% equals 18.72 of the output value, so we can write it down as x%=18.72.
5. Now we have two simple equations:
1) 100%=125
2) x%=18.72
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%=125/18.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.72 is what percent of 125

100%/x%=125/18.72
(100/x)*x=(125/18.72)*x       - we multiply both sides of the equation by x
100=6.6773504273504*x       - we divide both sides of the equation by (6.6773504273504) to get x
100/6.6773504273504=x
14.976=x
x=14.976

now we have:
18.72 is 14.976% of 125