52.4 is what percent of 237.8 - 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 237.8 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 237.8, so we can write it down as 100%=237.8.
4. We know, that x% equals 52.4 of the output value, so we can write it down as x%=52.4.
5. Now we have two simple equations:
1) 100%=237.8
2) x%=52.4
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%=237.8/52.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.4 is what percent of 237.8

100%/x%=237.8/52.4
(100/x)*x=(237.8/52.4)*x       - we multiply both sides of the equation by x
100=4.5381679389313*x       - we divide both sides of the equation by (4.5381679389313) to get x
100/4.5381679389313=x
22.035323801514=x
x=22.035323801514

now we have:
52.4 is 22.035323801514% of 237.8