25.6 is what percent of 25.12 - 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 25.12 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 25.12, so we can write it down as 100%=25.12.
4. We know, that x% equals 25.6 of the output value, so we can write it down as x%=25.6.
5. Now we have two simple equations:
1) 100%=25.12
2) x%=25.6
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%=25.12/25.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.6 is what percent of 25.12

100%/x%=25.12/25.6
(100/x)*x=(25.12/25.6)*x       - we multiply both sides of the equation by x
100=0.98125*x       - we divide both sides of the equation by (0.98125) to get x
100/0.98125=x
101.91082802548=x
x=101.91082802548

now we have:
25.6 is 101.91082802548% of 25.12