80.04 is what percent of 587.47 - 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 587.47 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 587.47, so we can write it down as 100%=587.47.
4. We know, that x% equals 80.04 of the output value, so we can write it down as x%=80.04.
5. Now we have two simple equations:
1) 100%=587.47
2) x%=80.04
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%=587.47/80.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.04 is what percent of 587.47

100%/x%=587.47/80.04
(100/x)*x=(587.47/80.04)*x       - we multiply both sides of the equation by x
100=7.3397051474263*x       - we divide both sides of the equation by (7.3397051474263) to get x
100/7.3397051474263=x
13.624525507685=x
x=13.624525507685

now we have:
80.04 is 13.624525507685% of 587.47