What is 80.5555 percent of 800 - 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 800 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 800 is 100%, so we can write it down as 800=100%.
4. We know, that x is 80.5555% of the output value, so we can write it down as x=80.5555%.
5. Now we have two simple equations:
1) 800=100%
2) x=80.5555%
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:
800/x=100%/80.5555%
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 80.5555% of 800

800/x=100/80.5555
(800/x)*x=(100/80.5555)*x       - we multiply both sides of the equation by x
800=1.2413801664691*x       - we divide both sides of the equation by (1.2413801664691) to get x
800/1.2413801664691=x
644.444=x
x=644.444

now we have:
80.5555% of 800=644.444