52.5 is what percent of 105.5 - 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 105.5 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 105.5, so we can write it down as 100%=105.5.
4. We know, that x% equals 52.5 of the output value, so we can write it down as x%=52.5.
5. Now we have two simple equations:
1) 100%=105.5
2) x%=52.5
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%=105.5/52.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.5 is what percent of 105.5

100%/x%=105.5/52.5
(100/x)*x=(105.5/52.5)*x       - we multiply both sides of the equation by x
100=2.0095238095238*x       - we divide both sides of the equation by (2.0095238095238) to get x
100/2.0095238095238=x
49.763033175355=x
x=49.763033175355

now we have:
52.5 is 49.763033175355% of 105.5