52 is what percent of 93.6 - 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 93.6 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 93.6, so we can write it down as 100%=93.6.
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%=93.6
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%=93.6/52
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 93.6

100%/x%=93.6/52
(100/x)*x=(93.6/52)*x       - we multiply both sides of the equation by x
100=1.8*x       - we divide both sides of the equation by (1.8) to get x
100/1.8=x
55.555555555556=x
x=55.555555555556

now we have:
52 is 55.555555555556% of 93.6