Question

52.5% of what number is 25.83?

Answer 1

If you would like to know 52.5% of what number is 25.83, you can calculate this using the following steps:

52.5% of what number is 25.83
52.5% * x = 25.83
52.5/100 * x = 25.83     /*100/52.5
x = 25.83 * 100 / 52.5
x = 49.2

Result: 52.5% of 49.2 is 25.83.

Answer 2

To get the solution, we are looking for, we need to point out what we know. 

1. We assume, that the number 25.83 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 25.83, so we can write it down as 100%=25.83. 
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%=25.83
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%=25.83/52.5
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 25.83

100%/x%=25.83/52.5
(100/x)*x=(25.83/52.5)*x       - we multiply both sides of the equation by x
100=0.492*x       - we divide both sides of the equation by (0.492) to get x
100/0.492=x 
203.25203252=x 
x=203.25203252

now we have: 
52.5 is 203.25203252% of 25.83