26.8 is what percent of 78.65 - 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 78.65 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 78.65, so we can write it down as 100%=78.65.
4. We know, that x% equals 26.8 of the output value, so we can write it down as x%=26.8.
5. Now we have two simple equations:
1) 100%=78.65
2) x%=26.8
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%=78.65/26.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.8 is what percent of 78.65

100%/x%=78.65/26.8
(100/x)*x=(78.65/26.8)*x       - we multiply both sides of the equation by x
100=2.9347014925373*x       - we divide both sides of the equation by (2.9347014925373) to get x
100/2.9347014925373=x
34.075015893198=x
x=34.075015893198

now we have:
26.8 is 34.075015893198% of 78.65