2 is what percent of 26.84 - 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 26.84 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 26.84, so we can write it down as 100%=26.84.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=26.84
2) x%=2
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%=26.84/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 26.84

100%/x%=26.84/2
(100/x)*x=(26.84/2)*x       - we multiply both sides of the equation by x
100=13.42*x       - we divide both sides of the equation by (13.42) to get x
100/13.42=x
7.451564828614=x
x=7.451564828614

now we have:
2 is 7.451564828614% of 26.84