5.12 is what percent of 225.2 - 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 225.2 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 225.2, so we can write it down as 100%=225.2.
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%=225.2
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%=225.2/5.12
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 225.2

100%/x%=225.2/5.12
(100/x)*x=(225.2/5.12)*x       - we multiply both sides of the equation by x
100=43.984375*x       - we divide both sides of the equation by (43.984375) to get x
100/43.984375=x
2.2735346358792=x
x=2.2735346358792

now we have:
5.12 is 2.2735346358792% of 225.2