What is 8.2875 percent of 12.75 - 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 12.75 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 12.75 is 100%, so we can write it down as 12.75=100%.
4. We know, that x is 8.2875% of the output value, so we can write it down as x=8.2875%.
5. Now we have two simple equations:
1) 12.75=100%
2) x=8.2875%
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:
12.75/x=100%/8.2875%
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 8.2875% of 12.75

12.75/x=100/8.2875
(12.75/x)*x=(100/8.2875)*x       - we multiply both sides of the equation by x
12.75=12.066365007541*x       - we divide both sides of the equation by (12.066365007541) to get x
12.75/12.066365007541=x
1.05665625=x
x=1.05665625

now we have:
8.2875% of 12.75=1.05665625