What is 7.9 percent of 82.349 - 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 82.349 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 82.349 is 100%, so we can write it down as 82.349=100%.
4. We know, that x is 7.9% of the output value, so we can write it down as x=7.9%.
5. Now we have two simple equations:
1) 82.349=100%
2) x=7.9%
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:
82.349/x=100%/7.9%
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 7.9% of 82.349

82.349/x=100/7.9
(82.349/x)*x=(100/7.9)*x       - we multiply both sides of the equation by x
82.349=12.658227848101*x       - we divide both sides of the equation by (12.658227848101) to get x
82.349/12.658227848101=x
6.505571=x
x=6.505571

now we have:
7.9% of 82.349=6.505571