20.8 is what percent of 655.9 - 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 655.9 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 655.9, so we can write it down as 100%=655.9.
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%=655.9
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%=655.9/20.8
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 655.9

100%/x%=655.9/20.8
(100/x)*x=(655.9/20.8)*x       - we multiply both sides of the equation by x
100=31.533653846154*x       - we divide both sides of the equation by (31.533653846154) to get x
100/31.533653846154=x
3.1712151242567=x
x=3.1712151242567

now we have:
20.8 is 3.1712151242567% of 655.9