What is 25.6 percent of 42.5 - 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 42.5 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 42.5 is 100%, so we can write it down as 42.5=100%.
4. We know, that x is 25.6% of the output value, so we can write it down as x=25.6%.
5. Now we have two simple equations:
1) 42.5=100%
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:
42.5/x=100%/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 what is 25.6% of 42.5

42.5/x=100/25.6
(42.5/x)*x=(100/25.6)*x       - we multiply both sides of the equation by x
42.5=3.90625*x       - we divide both sides of the equation by (3.90625) to get x
42.5/3.90625=x
10.88=x
x=10.88

now we have:
25.6% of 42.5=10.88