26.84 is what percent of 82.08 - 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 82.08 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 82.08, so we can write it down as 100%=82.08.
4. We know, that x% equals 26.84 of the output value, so we can write it down as x%=26.84.
5. Now we have two simple equations:
1) 100%=82.08
2) x%=26.84
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%=82.08/26.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.84 is what percent of 82.08

100%/x%=82.08/26.84
(100/x)*x=(82.08/26.84)*x       - we multiply both sides of the equation by x
100=3.0581222056632*x       - we divide both sides of the equation by (3.0581222056632) to get x
100/3.0581222056632=x
32.699805068226=x
x=32.699805068226

now we have:
26.84 is 32.699805068226% of 82.08