0.52 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 0.52 of the output value, so we can write it down as x%=0.52.
5. Now we have two simple equations:
1) 100%=2.85
2) x%=0.52
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%=2.85/0.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.52 is what percent of 2.85

100%/x%=2.85/0.52
(100/x)*x=(2.85/0.52)*x       - we multiply both sides of the equation by x
100=5.4807692307692*x       - we divide both sides of the equation by (5.4807692307692) to get x
100/5.4807692307692=x
18.245614035088=x
x=18.245614035088

now we have:
0.52 is 18.245614035088% of 2.85