What is 79.8 percent of 0.64 - 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 0.64 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 0.64 is 100%, so we can write it down as 0.64=100%.
4. We know, that x is 79.8% of the output value, so we can write it down as x=79.8%.
5. Now we have two simple equations:
1) 0.64=100%
2) x=79.8%
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:
0.64/x=100%/79.8%
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 79.8% of 0.64

0.64/x=100/79.8
(0.64/x)*x=(100/79.8)*x       - we multiply both sides of the equation by x
0.64=1.2531328320802*x       - we divide both sides of the equation by (1.2531328320802) to get x
0.64/1.2531328320802=x
0.51072=x
x=0.51072

now we have:
79.8% of 0.64=0.51072