27.84 is what percent of 51.2 - 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 51.2 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 51.2, so we can write it down as 100%=51.2.
4. We know, that x% equals 27.84 of the output value, so we can write it down as x%=27.84.
5. Now we have two simple equations:
1) 100%=51.2
2) x%=27.84
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%=51.2/27.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.84 is what percent of 51.2

100%/x%=51.2/27.84
(100/x)*x=(51.2/27.84)*x       - we multiply both sides of the equation by x
100=1.8390804597701*x       - we divide both sides of the equation by (1.8390804597701) to get x
100/1.8390804597701=x
54.375=x
x=54.375

now we have:
27.84 is 54.375% of 51.2