What is 30.99 percent of 47.95 - 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 47.95 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 47.95 is 100%, so we can write it down as 47.95=100%.
4. We know, that x is 30.99% of the output value, so we can write it down as x=30.99%.
5. Now we have two simple equations:
1) 47.95=100%
2) x=30.99%
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:
47.95/x=100%/30.99%
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 30.99% of 47.95

47.95/x=100/30.99
(47.95/x)*x=(100/30.99)*x       - we multiply both sides of the equation by x
47.95=3.2268473701194*x       - we divide both sides of the equation by (3.2268473701194) to get x
47.95/3.2268473701194=x
14.859705=x
x=14.859705

now we have:
30.99% of 47.95=14.859705