What is 6.377 percent of 83.395 - 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 83.395 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 83.395 is 100%, so we can write it down as 83.395=100%.
4. We know, that x is 6.377% of the output value, so we can write it down as x=6.377%.
5. Now we have two simple equations:
1) 83.395=100%
2) x=6.377%
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:
83.395/x=100%/6.377%
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 6.377% of 83.395

83.395/x=100/6.377
(83.395/x)*x=(100/6.377)*x       - we multiply both sides of the equation by x
83.395=15.681354869061*x       - we divide both sides of the equation by (15.681354869061) to get x
83.395/15.681354869061=x
5.31809915=x
x=5.31809915

now we have:
6.377% of 83.395=5.31809915