23.8 is what percent of 2.55 - 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 2.55 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 2.55, so we can write it down as 100%=2.55.
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%=2.55
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%=2.55/23.8
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 2.55

100%/x%=2.55/23.8
(100/x)*x=(2.55/23.8)*x       - we multiply both sides of the equation by x
100=0.10714285714286*x       - we divide both sides of the equation by (0.10714285714286) to get x
100/0.10714285714286=x
933.33333333333=x
x=933.33333333333

now we have:
23.8 is 933.33333333333% of 2.55