2.68 is what percent of 5.51 - 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 5.51 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 5.51, so we can write it down as 100%=5.51.
4. We know, that x% equals 2.68 of the output value, so we can write it down as x%=2.68.
5. Now we have two simple equations:
1) 100%=5.51
2) x%=2.68
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%=5.51/2.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.68 is what percent of 5.51

100%/x%=5.51/2.68
(100/x)*x=(5.51/2.68)*x       - we multiply both sides of the equation by x
100=2.0559701492537*x       - we divide both sides of the equation by (2.0559701492537) to get x
100/2.0559701492537=x
48.638838475499=x
x=48.638838475499

now we have:
2.68 is 48.638838475499% of 5.51