What is 5.09090909091 percent of 8.21 - 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 8.21 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 8.21 is 100%, so we can write it down as 8.21=100%.
4. We know, that x is 5.09090909091% of the output value, so we can write it down as x=5.09090909091%.
5. Now we have two simple equations:
1) 8.21=100%
2) x=5.09090909091%
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:
8.21/x=100%/5.09090909091%
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 5.09090909091% of 8.21

8.21/x=100/5.09090909091
(8.21/x)*x=(100/5.09090909091)*x       - we multiply both sides of the equation by x
8.21=19.642857142854*x       - we divide both sides of the equation by (19.642857142854) to get x
8.21/19.642857142854=x
0.41796363636371=x
x=0.41796363636371

now we have:
5.09090909091% of 8.21=0.41796363636371