26.33 is what percent of 27.86 - 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 27.86 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 27.86, so we can write it down as 100%=27.86.
4. We know, that x% equals 26.33 of the output value, so we can write it down as x%=26.33.
5. Now we have two simple equations:
1) 100%=27.86
2) x%=26.33
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%=27.86/26.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.33 is what percent of 27.86

100%/x%=27.86/26.33
(100/x)*x=(27.86/26.33)*x       - we multiply both sides of the equation by x
100=1.0581086213445*x       - we divide both sides of the equation by (1.0581086213445) to get x
100/1.0581086213445=x
94.508255563532=x
x=94.508255563532

now we have:
26.33 is 94.508255563532% of 27.86