4.56 is what percent of 8.865 - 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 8.865 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 8.865, so we can write it down as 100%=8.865.
4. We know, that x% equals 4.56 of the output value, so we can write it down as x%=4.56.
5. Now we have two simple equations:
1) 100%=8.865
2) x%=4.56
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%=8.865/4.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.56 is what percent of 8.865

100%/x%=8.865/4.56
(100/x)*x=(8.865/4.56)*x       - we multiply both sides of the equation by x
100=1.9440789473684*x       - we divide both sides of the equation by (1.9440789473684) to get x
100/1.9440789473684=x
51.438240270728=x
x=51.438240270728

now we have:
4.56 is 51.438240270728% of 8.865