20 is what percent of 31.85 - 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 31.85 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 31.85, so we can write it down as 100%=31.85.
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%=31.85
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%=31.85/20
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 31.85

100%/x%=31.85/20
(100/x)*x=(31.85/20)*x       - we multiply both sides of the equation by x
100=1.5925*x       - we divide both sides of the equation by (1.5925) to get x
100/1.5925=x
62.794348508634=x
x=62.794348508634

now we have:
20 is 62.794348508634% of 31.85