24.16 is what percent of 232.25 - 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 232.25 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 232.25, so we can write it down as 100%=232.25.
4. We know, that x% equals 24.16 of the output value, so we can write it down as x%=24.16.
5. Now we have two simple equations:
1) 100%=232.25
2) x%=24.16
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%=232.25/24.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.16 is what percent of 232.25

100%/x%=232.25/24.16
(100/x)*x=(232.25/24.16)*x       - we multiply both sides of the equation by x
100=9.6129966887417*x       - we divide both sides of the equation by (9.6129966887417) to get x
100/9.6129966887417=x
10.402583423036=x
x=10.402583423036

now we have:
24.16 is 10.402583423036% of 232.25