38.33 is what percent of 438.08 - 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 438.08 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 438.08, so we can write it down as 100%=438.08.
4. We know, that x% equals 38.33 of the output value, so we can write it down as x%=38.33.
5. Now we have two simple equations:
1) 100%=438.08
2) x%=38.33
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%=438.08/38.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.33 is what percent of 438.08

100%/x%=438.08/38.33
(100/x)*x=(438.08/38.33)*x       - we multiply both sides of the equation by x
100=11.429167753718*x       - we divide both sides of the equation by (11.429167753718) to get x
100/11.429167753718=x
8.7495434623813=x
x=8.7495434623813

now we have:
38.33 is 8.7495434623813% of 438.08