What is 79.975 percent of 8.25 - 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 8.25 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 8.25 is 100%, so we can write it down as 8.25=100%.
4. We know, that x is 79.975% of the output value, so we can write it down as x=79.975%.
5. Now we have two simple equations:
1) 8.25=100%
2) x=79.975%
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:
8.25/x=100%/79.975%
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 79.975% of 8.25

8.25/x=100/79.975
(8.25/x)*x=(100/79.975)*x       - we multiply both sides of the equation by x
8.25=1.2503907471085*x       - we divide both sides of the equation by (1.2503907471085) to get x
8.25/1.2503907471085=x
6.5979375=x
x=6.5979375

now we have:
79.975% of 8.25=6.5979375