What is 12 percent of 102.96 - 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 102.96 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 102.96 is 100%, so we can write it down as 102.96=100%.
4. We know, that x is 12% of the output value, so we can write it down as x=12%.
5. Now we have two simple equations:
1) 102.96=100%
2) x=12%
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:
102.96/x=100%/12%
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 12% of 102.96

102.96/x=100/12
(102.96/x)*x=(100/12)*x       - we multiply both sides of the equation by x
102.96=8.3333333333333*x       - we divide both sides of the equation by (8.3333333333333) to get x
102.96/8.3333333333333=x
12.3552=x
x=12.3552

now we have:
12% of 102.96=12.3552