52.4 is what percent of 115 - 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 115 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 115, so we can write it down as 100%=115.
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%=115
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%=115/52.4
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 115

100%/x%=115/52.4
(100/x)*x=(115/52.4)*x       - we multiply both sides of the equation by x
100=2.1946564885496*x       - we divide both sides of the equation by (2.1946564885496) to get x
100/2.1946564885496=x
45.565217391304=x
x=45.565217391304

now we have:
52.4 is 45.565217391304% of 115