What is 38.46 percent of 6.82 - 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 6.82 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 6.82 is 100%, so we can write it down as 6.82=100%.
4. We know, that x is 38.46% of the output value, so we can write it down as x=38.46%.
5. Now we have two simple equations:
1) 6.82=100%
2) x=38.46%
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:
6.82/x=100%/38.46%
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 38.46% of 6.82

6.82/x=100/38.46
(6.82/x)*x=(100/38.46)*x       - we multiply both sides of the equation by x
6.82=2.6001040041602*x       - we divide both sides of the equation by (2.6001040041602) to get x
6.82/2.6001040041602=x
2.622972=x
x=2.622972

now we have:
38.46% of 6.82=2.622972