20.8 is what percent of 259.4 - 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 259.4 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 259.4, so we can write it down as 100%=259.4.
4. We know, that x% equals 20.8 of the output value, so we can write it down as x%=20.8.
5. Now we have two simple equations:
1) 100%=259.4
2) x%=20.8
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%=259.4/20.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.8 is what percent of 259.4

100%/x%=259.4/20.8
(100/x)*x=(259.4/20.8)*x       - we multiply both sides of the equation by x
100=12.471153846154*x       - we divide both sides of the equation by (12.471153846154) to get x
100/12.471153846154=x
8.0185042405551=x
x=8.0185042405551

now we have:
20.8 is 8.0185042405551% of 259.4