38.14 is what percent of 521 - 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 521 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 521, so we can write it down as 100%=521.
4. We know, that x% equals 38.14 of the output value, so we can write it down as x%=38.14.
5. Now we have two simple equations:
1) 100%=521
2) x%=38.14
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%=521/38.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.14 is what percent of 521

100%/x%=521/38.14
(100/x)*x=(521/38.14)*x       - we multiply both sides of the equation by x
100=13.660199265863*x       - we divide both sides of the equation by (13.660199265863) to get x
100/13.660199265863=x
7.320537428023=x
x=7.320537428023

now we have:
38.14 is 7.320537428023% of 521