20 is what percent of 91.85 - 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 91.85 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 91.85, so we can write it down as 100%=91.85.
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%=91.85
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%=91.85/20
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 91.85

100%/x%=91.85/20
(100/x)*x=(91.85/20)*x       - we multiply both sides of the equation by x
100=4.5925*x       - we divide both sides of the equation by (4.5925) to get x
100/4.5925=x
21.774632553076=x
x=21.774632553076

now we have:
20 is 21.774632553076% of 91.85