What is 26.65 percent of 30.875 - 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 30.875 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 30.875 is 100%, so we can write it down as 30.875=100%.
4. We know, that x is 26.65% of the output value, so we can write it down as x=26.65%.
5. Now we have two simple equations:
1) 30.875=100%
2) x=26.65%
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:
30.875/x=100%/26.65%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.65% of 30.875

30.875/x=100/26.65
(30.875/x)*x=(100/26.65)*x       - we multiply both sides of the equation by x
30.875=3.7523452157599*x       - we divide both sides of the equation by (3.7523452157599) to get x
30.875/3.7523452157599=x
8.2281875=x
x=8.2281875

now we have:
26.65% of 30.875=8.2281875