What is 40.8 percent of 8.29 - 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 8.29 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 8.29 is 100%, so we can write it down as 8.29=100%.
4. We know, that x is 40.8% of the output value, so we can write it down as x=40.8%.
5. Now we have two simple equations:
1) 8.29=100%
2) x=40.8%
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:
8.29/x=100%/40.8%
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 40.8% of 8.29

8.29/x=100/40.8
(8.29/x)*x=(100/40.8)*x       - we multiply both sides of the equation by x
8.29=2.4509803921569*x       - we divide both sides of the equation by (2.4509803921569) to get x
8.29/2.4509803921569=x
3.38232=x
x=3.38232

now we have:
40.8% of 8.29=3.38232