20.9 is what percent of 33.88 - 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 33.88 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 33.88, so we can write it down as 100%=33.88.
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%=33.88
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%=33.88/20.9
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 33.88

100%/x%=33.88/20.9
(100/x)*x=(33.88/20.9)*x       - we multiply both sides of the equation by x
100=1.6210526315789*x       - we divide both sides of the equation by (1.6210526315789) to get x
100/1.6210526315789=x
61.688311688312=x
x=61.688311688312

now we have:
20.9 is 61.688311688312% of 33.88