33.65 is what percent of 21.25 - 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 21.25 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 21.25, so we can write it down as 100%=21.25.
4. We know, that x% equals 33.65 of the output value, so we can write it down as x%=33.65.
5. Now we have two simple equations:
1) 100%=21.25
2) x%=33.65
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%=21.25/33.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.65 is what percent of 21.25

100%/x%=21.25/33.65
(100/x)*x=(21.25/33.65)*x       - we multiply both sides of the equation by x
100=0.63150074294205*x       - we divide both sides of the equation by (0.63150074294205) to get x
100/0.63150074294205=x
158.35294117647=x
x=158.35294117647

now we have:
33.65 is 158.35294117647% of 21.25