489.75 is what percent of 2180.08 - 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 2180.08 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 2180.08, so we can write it down as 100%=2180.08.
4. We know, that x% equals 489.75 of the output value, so we can write it down as x%=489.75.
5. Now we have two simple equations:
1) 100%=2180.08
2) x%=489.75
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%=2180.08/489.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 489.75 is what percent of 2180.08

100%/x%=2180.08/489.75
(100/x)*x=(2180.08/489.75)*x       - we multiply both sides of the equation by x
100=4.4514139867279*x       - we divide both sides of the equation by (4.4514139867279) to get x
100/4.4514139867279=x
22.464771934975=x
x=22.464771934975

now we have:
489.75 is 22.464771934975% of 2180.08