638.26 is what percent of 4167.97 - 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 4167.97 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 4167.97, so we can write it down as 100%=4167.97.
4. We know, that x% equals 638.26 of the output value, so we can write it down as x%=638.26.
5. Now we have two simple equations:
1) 100%=4167.97
2) x%=638.26
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%=4167.97/638.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 638.26 is what percent of 4167.97

100%/x%=4167.97/638.26
(100/x)*x=(4167.97/638.26)*x       - we multiply both sides of the equation by x
100=6.5302071256228*x       - we divide both sides of the equation by (6.5302071256228) to get x
100/6.5302071256228=x
15.313449952855=x
x=15.313449952855

now we have:
638.26 is 15.313449952855% of 4167.97