2.74 is what percent of 108.29 - 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 108.29 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 108.29, so we can write it down as 100%=108.29.
4. We know, that x% equals 2.74 of the output value, so we can write it down as x%=2.74.
5. Now we have two simple equations:
1) 100%=108.29
2) x%=2.74
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%=108.29/2.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.74 is what percent of 108.29

100%/x%=108.29/2.74
(100/x)*x=(108.29/2.74)*x       - we multiply both sides of the equation by x
100=39.521897810219*x       - we divide both sides of the equation by (39.521897810219) to get x
100/39.521897810219=x
2.5302428663773=x
x=2.5302428663773

now we have:
2.74 is 2.5302428663773% of 108.29