What is 80 percent of 102.09 - 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 102.09 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 102.09 is 100%, so we can write it down as 102.09=100%.
4. We know, that x is 80% of the output value, so we can write it down as x=80%.
5. Now we have two simple equations:
1) 102.09=100%
2) x=80%
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:
102.09/x=100%/80%
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 80% of 102.09

102.09/x=100/80
(102.09/x)*x=(100/80)*x       - we multiply both sides of the equation by x
102.09=1.25*x       - we divide both sides of the equation by (1.25) to get x
102.09/1.25=x
81.672=x
x=81.672

now we have:
80% of 102.09=81.672