52 is what percent of 228 - 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 228 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 228, so we can write it down as 100%=228.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=228
2) x%=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%=228/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 228

100%/x%=228/52
(100/x)*x=(228/52)*x       - we multiply both sides of the equation by x
100=4.3846153846154*x       - we divide both sides of the equation by (4.3846153846154) to get x
100/4.3846153846154=x
22.80701754386=x
x=22.80701754386

now we have:
52 is 22.80701754386% of 228