0.24 is what percent of 2.85 - 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 2.85 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 2.85, so we can write it down as 100%=2.85.
4. We know, that x% equals 0.24 of the output value, so we can write it down as x%=0.24.
5. Now we have two simple equations:
1) 100%=2.85
2) x%=0.24
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%=2.85/0.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.24 is what percent of 2.85

100%/x%=2.85/0.24
(100/x)*x=(2.85/0.24)*x       - we multiply both sides of the equation by x
100=11.875*x       - we divide both sides of the equation by (11.875) to get x
100/11.875=x
8.4210526315789=x
x=8.4210526315789

now we have:
0.24 is 8.4210526315789% of 2.85