2.74 is what percent of 34.95 - 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 34.95 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 34.95, so we can write it down as 100%=34.95.
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%=34.95
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%=34.95/2.74
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 34.95

100%/x%=34.95/2.74
(100/x)*x=(34.95/2.74)*x       - we multiply both sides of the equation by x
100=12.755474452555*x       - we divide both sides of the equation by (12.755474452555) to get x
100/12.755474452555=x
7.8397711015737=x
x=7.8397711015737

now we have:
2.74 is 7.8397711015737% of 34.95