28.39 is what percent of 354.85 - 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 354.85 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 354.85, so we can write it down as 100%=354.85.
4. We know, that x% equals 28.39 of the output value, so we can write it down as x%=28.39.
5. Now we have two simple equations:
1) 100%=354.85
2) x%=28.39
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%=354.85/28.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.39 is what percent of 354.85

100%/x%=354.85/28.39
(100/x)*x=(354.85/28.39)*x       - we multiply both sides of the equation by x
100=12.499119408242*x       - we divide both sides of the equation by (12.499119408242) to get x
100/12.499119408242=x
8.0005636184303=x
x=8.0005636184303

now we have:
28.39 is 8.0005636184303% of 354.85