5.12 is what percent of 21.82 - 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 21.82 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 21.82, so we can write it down as 100%=21.82.
4. We know, that x% equals 5.12 of the output value, so we can write it down as x%=5.12.
5. Now we have two simple equations:
1) 100%=21.82
2) x%=5.12
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%=21.82/5.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.12 is what percent of 21.82

100%/x%=21.82/5.12
(100/x)*x=(21.82/5.12)*x       - we multiply both sides of the equation by x
100=4.26171875*x       - we divide both sides of the equation by (4.26171875) to get x
100/4.26171875=x
23.46471127406=x
x=23.46471127406

now we have:
5.12 is 23.46471127406% of 21.82