25.6 is what percent of 310.4 - 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 310.4 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 310.4, so we can write it down as 100%=310.4.
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%=310.4
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%=310.4/25.6
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 310.4

100%/x%=310.4/25.6
(100/x)*x=(310.4/25.6)*x       - we multiply both sides of the equation by x
100=12.125*x       - we divide both sides of the equation by (12.125) to get x
100/12.125=x
8.2474226804124=x
x=8.2474226804124

now we have:
25.6 is 8.2474226804124% of 310.4