80.4 is what percent of 500.4 - 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 500.4 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 500.4, so we can write it down as 100%=500.4.
4. We know, that x% equals 80.4 of the output value, so we can write it down as x%=80.4.
5. Now we have two simple equations:
1) 100%=500.4
2) x%=80.4
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%=500.4/80.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.4 is what percent of 500.4

100%/x%=500.4/80.4
(100/x)*x=(500.4/80.4)*x       - we multiply both sides of the equation by x
100=6.2238805970149*x       - we divide both sides of the equation by (6.2238805970149) to get x
100/6.2238805970149=x
16.067146282974=x
x=16.067146282974

now we have:
80.4 is 16.067146282974% of 500.4