20.8 is what percent of 303 - 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 303 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 303, so we can write it down as 100%=303.
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%=303
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%=303/20.8
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 303

100%/x%=303/20.8
(100/x)*x=(303/20.8)*x       - we multiply both sides of the equation by x
100=14.567307692308*x       - we divide both sides of the equation by (14.567307692308) to get x
100/14.567307692308=x
6.8646864686469=x
x=6.8646864686469

now we have:
20.8 is 6.8646864686469% of 303