What is 8.26 percent of 10.75 - 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 10.75 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 10.75 is 100%, so we can write it down as 10.75=100%.
4. We know, that x is 8.26% of the output value, so we can write it down as x=8.26%.
5. Now we have two simple equations:
1) 10.75=100%
2) x=8.26%
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:
10.75/x=100%/8.26%
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 8.26% of 10.75

10.75/x=100/8.26
(10.75/x)*x=(100/8.26)*x       - we multiply both sides of the equation by x
10.75=12.106537530266*x       - we divide both sides of the equation by (12.106537530266) to get x
10.75/12.106537530266=x
0.88795=x
x=0.88795

now we have:
8.26% of 10.75=0.88795