14.89 is what percent of 508.72 - 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 508.72 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 508.72, so we can write it down as 100%=508.72.
4. We know, that x% equals 14.89 of the output value, so we can write it down as x%=14.89.
5. Now we have two simple equations:
1) 100%=508.72
2) x%=14.89
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%=508.72/14.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.89 is what percent of 508.72

100%/x%=508.72/14.89
(100/x)*x=(508.72/14.89)*x       - we multiply both sides of the equation by x
100=34.165211551377*x       - we divide both sides of the equation by (34.165211551377) to get x
100/34.165211551377=x
2.9269539235729=x
x=2.9269539235729

now we have:
14.89 is 2.9269539235729% of 508.72