What is 25.12 percent of 125.6 - 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 125.6 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 125.6 is 100%, so we can write it down as 125.6=100%.
4. We know, that x is 25.12% of the output value, so we can write it down as x=25.12%.
5. Now we have two simple equations:
1) 125.6=100%
2) x=25.12%
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:
125.6/x=100%/25.12%
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 25.12% of 125.6

125.6/x=100/25.12
(125.6/x)*x=(100/25.12)*x       - we multiply both sides of the equation by x
125.6=3.9808917197452*x       - we divide both sides of the equation by (3.9808917197452) to get x
125.6/3.9808917197452=x
31.55072=x
x=31.55072

now we have:
25.12% of 125.6=31.55072