5.52 is what percent of 10828 - 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 10828 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 10828, so we can write it down as 100%=10828.
4. We know, that x% equals 5.52 of the output value, so we can write it down as x%=5.52.
5. Now we have two simple equations:
1) 100%=10828
2) x%=5.52
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%=10828/5.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.52 is what percent of 10828

100%/x%=10828/5.52
(100/x)*x=(10828/5.52)*x       - we multiply both sides of the equation by x
100=1961.5942028986*x       - we divide both sides of the equation by (1961.5942028986) to get x
100/1961.5942028986=x
0.050978943479867=x
x=0.050978943479867

now we have:
5.52 is 0.050978943479867% of 10828