2.8 is what percent of 24.63 - 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 24.63 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 24.63, so we can write it down as 100%=24.63.
4. We know, that x% equals 2.8 of the output value, so we can write it down as x%=2.8.
5. Now we have two simple equations:
1) 100%=24.63
2) x%=2.8
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%=24.63/2.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.8 is what percent of 24.63

100%/x%=24.63/2.8
(100/x)*x=(24.63/2.8)*x       - we multiply both sides of the equation by x
100=8.7964285714286*x       - we divide both sides of the equation by (8.7964285714286) to get x
100/8.7964285714286=x
11.368250101502=x
x=11.368250101502

now we have:
2.8 is 11.368250101502% of 24.63