577.79 is what 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 100% equals 800, so we can write it down as 100%=800.
4. We know, that x% equals 577.79 of the output value, so we can write it down as x%=577.79.
5. Now we have two simple equations:
1) 100%=800
2) x%=577.79
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:
100%/x%=800/577.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 577.79 is what percent of 800

100%/x%=800/577.79
(100/x)*x=(800/577.79)*x       - we multiply both sides of the equation by x
100=1.3845860952941*x       - we divide both sides of the equation by (1.3845860952941) to get x
100/1.3845860952941=x
72.22375=x
x=72.22375

now we have:
577.79 is 72.22375% of 800