What is 77.8 percent of 600 - 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 600 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 600 is 100%, so we can write it down as 600=100%.
4. We know, that x is 77.8% of the output value, so we can write it down as x=77.8%.
5. Now we have two simple equations:
1) 600=100%
2) x=77.8%
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:
600/x=100%/77.8%
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 77.8% of 600

600/x=100/77.8
(600/x)*x=(100/77.8)*x       - we multiply both sides of the equation by x
600=1.2853470437018*x       - we divide both sides of the equation by (1.2853470437018) to get x
600/1.2853470437018=x
466.8=x
x=466.8

now we have:
77.8% of 600=466.8