What is 34.78 percent of 12.99 - 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 12.99 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 12.99 is 100%, so we can write it down as 12.99=100%.
4. We know, that x is 34.78% of the output value, so we can write it down as x=34.78%.
5. Now we have two simple equations:
1) 12.99=100%
2) x=34.78%
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:
12.99/x=100%/34.78%
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 34.78% of 12.99

12.99/x=100/34.78
(12.99/x)*x=(100/34.78)*x       - we multiply both sides of the equation by x
12.99=2.8752156411731*x       - we divide both sides of the equation by (2.8752156411731) to get x
12.99/2.8752156411731=x
4.517922=x
x=4.517922

now we have:
34.78% of 12.99=4.517922