What is 5.22 percent of 8.33 - 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 8.33 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 8.33 is 100%, so we can write it down as 8.33=100%.
4. We know, that x is 5.22% of the output value, so we can write it down as x=5.22%.
5. Now we have two simple equations:
1) 8.33=100%
2) x=5.22%
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:
8.33/x=100%/5.22%
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 5.22% of 8.33

8.33/x=100/5.22
(8.33/x)*x=(100/5.22)*x       - we multiply both sides of the equation by x
8.33=19.157088122605*x       - we divide both sides of the equation by (19.157088122605) to get x
8.33/19.157088122605=x
0.434826=x
x=0.434826

now we have:
5.22% of 8.33=0.434826