407.5 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 407.5 of the output value, so we can write it down as x%=407.5.
5. Now we have two simple equations:
1) 100%=800
2) x%=407.5
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%=800/407.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.5 is what percent of 800

100%/x%=800/407.5
(100/x)*x=(800/407.5)*x       - we multiply both sides of the equation by x
100=1.9631901840491*x       - we divide both sides of the equation by (1.9631901840491) to get x
100/1.9631901840491=x
50.9375=x
x=50.9375

now we have:
407.5 is 50.9375% of 800