24232.78 is what percent of 53023.64 - 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 53023.64 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 53023.64, so we can write it down as 100%=53023.64.
4. We know, that x% equals 24232.78 of the output value, so we can write it down as x%=24232.78.
5. Now we have two simple equations:
1) 100%=53023.64
2) x%=24232.78
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%=53023.64/24232.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24232.78 is what percent of 53023.64

100%/x%=53023.64/24232.78
(100/x)*x=(53023.64/24232.78)*x       - we multiply both sides of the equation by x
100=2.1880956291437*x       - we divide both sides of the equation by (2.1880956291437) to get x
100/2.1880956291437=x
45.701841669112=x
x=45.701841669112

now we have:
24232.78 is 45.701841669112% of 53023.64