404.26 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 404.26 of the output value, so we can write it down as x%=404.26.
5. Now we have two simple equations:
1) 100%=500
2) x%=404.26
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%=500/404.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 404.26 is what percent of 500

100%/x%=500/404.26
(100/x)*x=(500/404.26)*x       - we multiply both sides of the equation by x
100=1.2368277840993*x       - we divide both sides of the equation by (1.2368277840993) to get x
100/1.2368277840993=x
80.852=x
x=80.852

now we have:
404.26 is 80.852% of 500