23.8 is what percent of 110.8 - 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 110.8 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 110.8, so we can write it down as 100%=110.8.
4. We know, that x% equals 23.8 of the output value, so we can write it down as x%=23.8.
5. Now we have two simple equations:
1) 100%=110.8
2) x%=23.8
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%=110.8/23.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.8 is what percent of 110.8

100%/x%=110.8/23.8
(100/x)*x=(110.8/23.8)*x       - we multiply both sides of the equation by x
100=4.6554621848739*x       - we divide both sides of the equation by (4.6554621848739) to get x
100/4.6554621848739=x
21.480144404332=x
x=21.480144404332

now we have:
23.8 is 21.480144404332% of 110.8