2.28 is what percent of 0.52 - 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 0.52 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 0.52, so we can write it down as 100%=0.52.
4. We know, that x% equals 2.28 of the output value, so we can write it down as x%=2.28.
5. Now we have two simple equations:
1) 100%=0.52
2) x%=2.28
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%=0.52/2.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.28 is what percent of 0.52

100%/x%=0.52/2.28
(100/x)*x=(0.52/2.28)*x       - we multiply both sides of the equation by x
100=0.2280701754386*x       - we divide both sides of the equation by (0.2280701754386) to get x
100/0.2280701754386=x
438.46153846154=x
x=438.46153846154

now we have:
2.28 is 438.46153846154% of 0.52