24.52 is what percent of 25.5 - 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 25.5 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 25.5, so we can write it down as 100%=25.5.
4. We know, that x% equals 24.52 of the output value, so we can write it down as x%=24.52.
5. Now we have two simple equations:
1) 100%=25.5
2) x%=24.52
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%=25.5/24.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.52 is what percent of 25.5

100%/x%=25.5/24.52
(100/x)*x=(25.5/24.52)*x       - we multiply both sides of the equation by x
100=1.0399673735726*x       - we divide both sides of the equation by (1.0399673735726) to get x
100/1.0399673735726=x
96.156862745098=x
x=96.156862745098

now we have:
24.52 is 96.156862745098% of 25.5