4.57 is what percent of 10.63 - 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 10.63 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 10.63, so we can write it down as 100%=10.63.
4. We know, that x% equals 4.57 of the output value, so we can write it down as x%=4.57.
5. Now we have two simple equations:
1) 100%=10.63
2) x%=4.57
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%=10.63/4.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.57 is what percent of 10.63

100%/x%=10.63/4.57
(100/x)*x=(10.63/4.57)*x       - we multiply both sides of the equation by x
100=2.3260393873085*x       - we divide both sides of the equation by (2.3260393873085) to get x
100/2.3260393873085=x
42.991533396049=x
x=42.991533396049

now we have:
4.57 is 42.991533396049% of 10.63