20.54 is what percent of 37.695 - 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 37.695 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 37.695, so we can write it down as 100%=37.695.
4. We know, that x% equals 20.54 of the output value, so we can write it down as x%=20.54.
5. Now we have two simple equations:
1) 100%=37.695
2) x%=20.54
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%=37.695/20.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.54 is what percent of 37.695

100%/x%=37.695/20.54
(100/x)*x=(37.695/20.54)*x       - we multiply both sides of the equation by x
100=1.8351996105161*x       - we divide both sides of the equation by (1.8351996105161) to get x
100/1.8351996105161=x
54.489985409205=x
x=54.489985409205

now we have:
20.54 is 54.489985409205% of 37.695