20.9 is what percent of 57.49 - 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 57.49 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 57.49, so we can write it down as 100%=57.49.
4. We know, that x% equals 20.9 of the output value, so we can write it down as x%=20.9.
5. Now we have two simple equations:
1) 100%=57.49
2) x%=20.9
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%=57.49/20.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.9 is what percent of 57.49

100%/x%=57.49/20.9
(100/x)*x=(57.49/20.9)*x       - we multiply both sides of the equation by x
100=2.7507177033493*x       - we divide both sides of the equation by (2.7507177033493) to get x
100/2.7507177033493=x
36.354148547573=x
x=36.354148547573

now we have:
20.9 is 36.354148547573% of 57.49