37.77 is what percent of 20 - 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 20 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 20, so we can write it down as 100%=20.
4. We know, that x% equals 37.77 of the output value, so we can write it down as x%=37.77.
5. Now we have two simple equations:
1) 100%=20
2) x%=37.77
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%=20/37.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.77 is what percent of 20

100%/x%=20/37.77
(100/x)*x=(20/37.77)*x       - we multiply both sides of the equation by x
100=0.52952078369076*x       - we divide both sides of the equation by (0.52952078369076) to get x
100/0.52952078369076=x
188.85=x
x=188.85

now we have:
37.77 is 188.85% of 20