2.55 is what percent of 33.77 - 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 33.77 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 33.77, so we can write it down as 100%=33.77.
4. We know, that x% equals 2.55 of the output value, so we can write it down as x%=2.55.
5. Now we have two simple equations:
1) 100%=33.77
2) x%=2.55
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%=33.77/2.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.55 is what percent of 33.77

100%/x%=33.77/2.55
(100/x)*x=(33.77/2.55)*x       - we multiply both sides of the equation by x
100=13.243137254902*x       - we divide both sides of the equation by (13.243137254902) to get x
100/13.243137254902=x
7.5510808409831=x
x=7.5510808409831

now we have:
2.55 is 7.5510808409831% of 33.77