What is 78.125 percent of 8.5 - 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 8.5 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 8.5 is 100%, so we can write it down as 8.5=100%.
4. We know, that x is 78.125% of the output value, so we can write it down as x=78.125%.
5. Now we have two simple equations:
1) 8.5=100%
2) x=78.125%
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:
8.5/x=100%/78.125%
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 78.125% of 8.5

8.5/x=100/78.125
(8.5/x)*x=(100/78.125)*x       - we multiply both sides of the equation by x
8.5=1.28*x       - we divide both sides of the equation by (1.28) to get x
8.5/1.28=x
6.640625=x
x=6.640625

now we have:
78.125% of 8.5=6.640625