What is 2.99 percent of 11.96 - 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 11.96 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 11.96 is 100%, so we can write it down as 11.96=100%.
4. We know, that x is 2.99% of the output value, so we can write it down as x=2.99%.
5. Now we have two simple equations:
1) 11.96=100%
2) x=2.99%
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:
11.96/x=100%/2.99%
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 2.99% of 11.96

11.96/x=100/2.99
(11.96/x)*x=(100/2.99)*x       - we multiply both sides of the equation by x
11.96=33.444816053512*x       - we divide both sides of the equation by (33.444816053512) to get x
11.96/33.444816053512=x
0.357604=x
x=0.357604

now we have:
2.99% of 11.96=0.357604