26.8 is what percent of 87.28 - 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 87.28 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 87.28, so we can write it down as 100%=87.28.
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%=87.28
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%=87.28/26.8
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 87.28

100%/x%=87.28/26.8
(100/x)*x=(87.28/26.8)*x       - we multiply both sides of the equation by x
100=3.2567164179104*x       - we divide both sides of the equation by (3.2567164179104) to get x
100/3.2567164179104=x
30.70577451879=x
x=30.70577451879

now we have:
26.8 is 30.70577451879% of 87.28