488.52 is what percent of 2716.66 - 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 2716.66 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 2716.66, so we can write it down as 100%=2716.66.
4. We know, that x% equals 488.52 of the output value, so we can write it down as x%=488.52.
5. Now we have two simple equations:
1) 100%=2716.66
2) x%=488.52
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%=2716.66/488.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 488.52 is what percent of 2716.66

100%/x%=2716.66/488.52
(100/x)*x=(2716.66/488.52)*x       - we multiply both sides of the equation by x
100=5.5610005731597*x       - we divide both sides of the equation by (5.5610005731597) to get x
100/5.5610005731597=x
17.982375416872=x
x=17.982375416872

now we have:
488.52 is 17.982375416872% of 2716.66