20 is what percent of 31.455 - 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 31.455 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 31.455, so we can write it down as 100%=31.455.
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%=31.455
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%=31.455/20
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 31.455

100%/x%=31.455/20
(100/x)*x=(31.455/20)*x       - we multiply both sides of the equation by x
100=1.57275*x       - we divide both sides of the equation by (1.57275) to get x
100/1.57275=x
63.582896200922=x
x=63.582896200922

now we have:
20 is 63.582896200922% of 31.455