What is 6.75 percent of 82.5 - 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 82.5 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 82.5 is 100%, so we can write it down as 82.5=100%.
4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.
5. Now we have two simple equations:
1) 82.5=100%
2) x=6.75%
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:
82.5/x=100%/6.75%
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 6.75% of 82.5

82.5/x=100/6.75
(82.5/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x
82.5=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x
82.5/14.814814814815=x
5.56875=x
x=5.56875

now we have:
6.75% of 82.5=5.56875