20 is what percent of 95.77 - 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 95.77 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 95.77, so we can write it down as 100%=95.77.
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%=95.77
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%=95.77/20
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 95.77

100%/x%=95.77/20
(100/x)*x=(95.77/20)*x       - we multiply both sides of the equation by x
100=4.7885*x       - we divide both sides of the equation by (4.7885) to get x
100/4.7885=x
20.883366398663=x
x=20.883366398663

now we have:
20 is 20.883366398663% of 95.77