26.16 is what percent of 27.96 - 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 27.96 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 27.96, so we can write it down as 100%=27.96.
4. We know, that x% equals 26.16 of the output value, so we can write it down as x%=26.16.
5. Now we have two simple equations:
1) 100%=27.96
2) x%=26.16
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%=27.96/26.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.16 is what percent of 27.96

100%/x%=27.96/26.16
(100/x)*x=(27.96/26.16)*x       - we multiply both sides of the equation by x
100=1.0688073394495*x       - we divide both sides of the equation by (1.0688073394495) to get x
100/1.0688073394495=x
93.562231759657=x
x=93.562231759657

now we have:
26.16 is 93.562231759657% of 27.96