20 is what percent of 318.15 - 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 318.15 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 318.15, so we can write it down as 100%=318.15.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=318.15
2) x%=20
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%=318.15/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 318.15

100%/x%=318.15/20
(100/x)*x=(318.15/20)*x       - we multiply both sides of the equation by x
100=15.9075*x       - we divide both sides of the equation by (15.9075) to get x
100/15.9075=x
6.2863429200063=x
x=6.2863429200063

now we have:
20 is 6.2863429200063% of 318.15