20 is what percent of 15.91 - 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 15.91 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 15.91, so we can write it down as 100%=15.91.
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%=15.91
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%=15.91/20
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 15.91

100%/x%=15.91/20
(100/x)*x=(15.91/20)*x       - we multiply both sides of the equation by x
100=0.7955*x       - we divide both sides of the equation by (0.7955) to get x
100/0.7955=x
125.70710245129=x
x=125.70710245129

now we have:
20 is 125.70710245129% of 15.91