26.64 is what percent of 28 - 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 28 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 28, so we can write it down as 100%=28.
4. We know, that x% equals 26.64 of the output value, so we can write it down as x%=26.64.
5. Now we have two simple equations:
1) 100%=28
2) x%=26.64
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%=28/26.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.64 is what percent of 28

100%/x%=28/26.64
(100/x)*x=(28/26.64)*x       - we multiply both sides of the equation by x
100=1.0510510510511*x       - we divide both sides of the equation by (1.0510510510511) to get x
100/1.0510510510511=x
95.142857142857=x
x=95.142857142857

now we have:
26.64 is 95.142857142857% of 28