106.8 is what percent of 2580 - 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 2580 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 2580, so we can write it down as 100%=2580.
4. We know, that x% equals 106.8 of the output value, so we can write it down as x%=106.8.
5. Now we have two simple equations:
1) 100%=2580
2) x%=106.8
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%=2580/106.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.8 is what percent of 2580

100%/x%=2580/106.8
(100/x)*x=(2580/106.8)*x       - we multiply both sides of the equation by x
100=24.157303370787*x       - we divide both sides of the equation by (24.157303370787) to get x
100/24.157303370787=x
4.1395348837209=x
x=4.1395348837209

now we have:
106.8 is 4.1395348837209% of 2580