24.8 is what percent of 22500 - 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 22500 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 22500, so we can write it down as 100%=22500.
4. We know, that x% equals 24.8 of the output value, so we can write it down as x%=24.8.
5. Now we have two simple equations:
1) 100%=22500
2) x%=24.8
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%=22500/24.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.8 is what percent of 22500

100%/x%=22500/24.8
(100/x)*x=(22500/24.8)*x       - we multiply both sides of the equation by x
100=907.25806451613*x       - we divide both sides of the equation by (907.25806451613) to get x
100/907.25806451613=x
0.11022222222222=x
x=0.11022222222222

now we have:
24.8 is 0.11022222222222% of 22500