5.52 is what percent of 42.78 - 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 42.78 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 42.78, so we can write it down as 100%=42.78.
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%=42.78
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%=42.78/5.52
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 42.78

100%/x%=42.78/5.52
(100/x)*x=(42.78/5.52)*x       - we multiply both sides of the equation by x
100=7.75*x       - we divide both sides of the equation by (7.75) to get x
100/7.75=x
12.903225806452=x
x=12.903225806452

now we have:
5.52 is 12.903225806452% of 42.78