108.4 is what percent of 2661.9 - 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 2661.9 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 2661.9, so we can write it down as 100%=2661.9.
4. We know, that x% equals 108.4 of the output value, so we can write it down as x%=108.4.
5. Now we have two simple equations:
1) 100%=2661.9
2) x%=108.4
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%=2661.9/108.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.4 is what percent of 2661.9

100%/x%=2661.9/108.4
(100/x)*x=(2661.9/108.4)*x       - we multiply both sides of the equation by x
100=24.556273062731*x       - we divide both sides of the equation by (24.556273062731) to get x
100/24.556273062731=x
4.0722791990683=x
x=4.0722791990683

now we have:
108.4 is 4.0722791990683% of 2661.9