2.85 is what percent of 24.5 - 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 24.5 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 24.5, so we can write it down as 100%=24.5.
4. We know, that x% equals 2.85 of the output value, so we can write it down as x%=2.85.
5. Now we have two simple equations:
1) 100%=24.5
2) x%=2.85
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%=24.5/2.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.85 is what percent of 24.5

100%/x%=24.5/2.85
(100/x)*x=(24.5/2.85)*x       - we multiply both sides of the equation by x
100=8.5964912280702*x       - we divide both sides of the equation by (8.5964912280702) to get x
100/8.5964912280702=x
11.632653061224=x
x=11.632653061224

now we have:
2.85 is 11.632653061224% of 24.5