51.2 is what percent of 0.8 - 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 0.8 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 0.8, so we can write it down as 100%=0.8.
4. We know, that x% equals 51.2 of the output value, so we can write it down as x%=51.2.
5. Now we have two simple equations:
1) 100%=0.8
2) x%=51.2
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%=0.8/51.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.2 is what percent of 0.8

100%/x%=0.8/51.2
(100/x)*x=(0.8/51.2)*x       - we multiply both sides of the equation by x
100=0.015625*x       - we divide both sides of the equation by (0.015625) to get x
100/0.015625=x
6400=x
x=6400

now we have:
51.2 is 6400% of 0.8