113.29 is what percent of 24839.45 - 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 24839.45 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 24839.45, so we can write it down as 100%=24839.45.
4. We know, that x% equals 113.29 of the output value, so we can write it down as x%=113.29.
5. Now we have two simple equations:
1) 100%=24839.45
2) x%=113.29
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%=24839.45/113.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.29 is what percent of 24839.45

100%/x%=24839.45/113.29
(100/x)*x=(24839.45/113.29)*x       - we multiply both sides of the equation by x
100=219.25545061347*x       - we divide both sides of the equation by (219.25545061347) to get x
100/219.25545061347=x
0.456089003581=x
x=0.456089003581

now we have:
113.29 is 0.456089003581% of 24839.45