What is 8.02 percent of 105.56 - 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 105.56 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 105.56 is 100%, so we can write it down as 105.56=100%.
4. We know, that x is 8.02% of the output value, so we can write it down as x=8.02%.
5. Now we have two simple equations:
1) 105.56=100%
2) x=8.02%
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:
105.56/x=100%/8.02%
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 8.02% of 105.56

105.56/x=100/8.02
(105.56/x)*x=(100/8.02)*x       - we multiply both sides of the equation by x
105.56=12.468827930175*x       - we divide both sides of the equation by (12.468827930175) to get x
105.56/12.468827930175=x
8.465912=x
x=8.465912

now we have:
8.02% of 105.56=8.465912