20.4 is what percent of 76.8 - 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 76.8 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 76.8, so we can write it down as 100%=76.8.
4. We know, that x% equals 20.4 of the output value, so we can write it down as x%=20.4.
5. Now we have two simple equations:
1) 100%=76.8
2) x%=20.4
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%=76.8/20.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.4 is what percent of 76.8

100%/x%=76.8/20.4
(100/x)*x=(76.8/20.4)*x       - we multiply both sides of the equation by x
100=3.76470588235*x       - we divide both sides of the equation by (3.76470588235) to get x
100/3.76470588235=x
26.5625=x
x=26.5625

now we have:
20.4 is 26.5625% of 76.8