26.47 is what percent of 33.61 - 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 33.61 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 33.61, so we can write it down as 100%=33.61.
4. We know, that x% equals 26.47 of the output value, so we can write it down as x%=26.47.
5. Now we have two simple equations:
1) 100%=33.61
2) x%=26.47
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%=33.61/26.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.47 is what percent of 33.61

100%/x%=33.61/26.47
(100/x)*x=(33.61/26.47)*x       - we multiply both sides of the equation by x
100=1.2697393275406*x       - we divide both sides of the equation by (1.2697393275406) to get x
100/1.2697393275406=x
78.756322523059=x
x=78.756322523059

now we have:
26.47 is 78.756322523059% of 33.61