52.9 is what percent of 285 - 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 285 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 285, so we can write it down as 100%=285.
4. We know, that x% equals 52.9 of the output value, so we can write it down as x%=52.9.
5. Now we have two simple equations:
1) 100%=285
2) x%=52.9
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%=285/52.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.9 is what percent of 285

100%/x%=285/52.9
(100/x)*x=(285/52.9)*x       - we multiply both sides of the equation by x
100=5.3875236294896*x       - we divide both sides of the equation by (5.3875236294896) to get x
100/5.3875236294896=x
18.561403508772=x
x=18.561403508772

now we have:
52.9 is 18.561403508772% of 285