38 is what percent of 406.25 - 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 406.25 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 406.25, so we can write it down as 100%=406.25.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=406.25
2) x%=38
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%=406.25/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 406.25

100%/x%=406.25/38
(100/x)*x=(406.25/38)*x       - we multiply both sides of the equation by x
100=10.690789473684*x       - we divide both sides of the equation by (10.690789473684) to get x
100/10.690789473684=x
9.3538461538462=x
x=9.3538461538462

now we have:
38 is 9.3538461538462% of 406.25