20.08 is what percent of 37.344 - 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 37.344 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 37.344, so we can write it down as 100%=37.344.
4. We know, that x% equals 20.08 of the output value, so we can write it down as x%=20.08.
5. Now we have two simple equations:
1) 100%=37.344
2) x%=20.08
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%=37.344/20.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.08 is what percent of 37.344

100%/x%=37.344/20.08
(100/x)*x=(37.344/20.08)*x       - we multiply both sides of the equation by x
100=1.8597609561753*x       - we divide both sides of the equation by (1.8597609561753) to get x
100/1.8597609561753=x
53.770351328192=x
x=53.770351328192

now we have:
20.08 is 53.770351328192% of 37.344