38.85 is what percent of 495.8 - 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 495.8 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 495.8, so we can write it down as 100%=495.8.
4. We know, that x% equals 38.85 of the output value, so we can write it down as x%=38.85.
5. Now we have two simple equations:
1) 100%=495.8
2) x%=38.85
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%=495.8/38.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.85 is what percent of 495.8

100%/x%=495.8/38.85
(100/x)*x=(495.8/38.85)*x       - we multiply both sides of the equation by x
100=12.761904761905*x       - we divide both sides of the equation by (12.761904761905) to get x
100/12.761904761905=x
7.8358208955224=x
x=7.8358208955224

now we have:
38.85 is 7.8358208955224% of 495.8