What is 0.11 percent of 7.75 - 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 7.75 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 7.75 is 100%, so we can write it down as 7.75=100%.
4. We know, that x is 0.11% of the output value, so we can write it down as x=0.11%.
5. Now we have two simple equations:
1) 7.75=100%
2) x=0.11%
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:
7.75/x=100%/0.11%
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 0.11% of 7.75

7.75/x=100/0.11
(7.75/x)*x=(100/0.11)*x       - we multiply both sides of the equation by x
7.75=909.09090909091*x       - we divide both sides of the equation by (909.09090909091) to get x
7.75/909.09090909091=x
0.008525=x
x=0.008525

now we have:
0.11% of 7.75=0.008525