38.9 is what percent of 1104.75 - 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 1104.75 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 1104.75, so we can write it down as 100%=1104.75.
4. We know, that x% equals 38.9 of the output value, so we can write it down as x%=38.9.
5. Now we have two simple equations:
1) 100%=1104.75
2) x%=38.9
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%=1104.75/38.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.9 is what percent of 1104.75

100%/x%=1104.75/38.9
(100/x)*x=(1104.75/38.9)*x       - we multiply both sides of the equation by x
100=28.399742930591*x       - we divide both sides of the equation by (28.399742930591) to get x
100/28.399742930591=x
3.5211586331749=x
x=3.5211586331749

now we have:
38.9 is 3.5211586331749% of 1104.75