0.8 is what percent of 51.6 - 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 51.6 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 100% equals 51.6, so we can write it down as 100%=51.6.
4. We know, that x% equals 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=51.6
2) x%=0.8
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%=51.6/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 51.6

100%/x%=51.6/0.8
(100/x)*x=(51.6/0.8)*x       - we multiply both sides of the equation by x
100=64.5*x       - we divide both sides of the equation by (64.5) to get x
100/64.5=x
1.5503875968992=x
x=1.5503875968992

now we have:
0.8 is 1.5503875968992% of 51.6