26.68 is what percent of 28.75 - 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 28.75 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 28.75, so we can write it down as 100%=28.75.
4. We know, that x% equals 26.68 of the output value, so we can write it down as x%=26.68.
5. Now we have two simple equations:
1) 100%=28.75
2) x%=26.68
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%=28.75/26.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.68 is what percent of 28.75

100%/x%=28.75/26.68
(100/x)*x=(28.75/26.68)*x       - we multiply both sides of the equation by x
100=1.0775862068966*x       - we divide both sides of the equation by (1.0775862068966) to get x
100/1.0775862068966=x
92.8=x
x=92.8

now we have:
26.68 is 92.8% of 28.75