What is 46.26 percent of 29.95 - 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 29.95 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 29.95 is 100%, so we can write it down as 29.95=100%.
4. We know, that x is 46.26% of the output value, so we can write it down as x=46.26%.
5. Now we have two simple equations:
1) 29.95=100%
2) x=46.26%
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:
29.95/x=100%/46.26%
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 46.26% of 29.95

29.95/x=100/46.26
(29.95/x)*x=(100/46.26)*x       - we multiply both sides of the equation by x
29.95=2.1616947686987*x       - we divide both sides of the equation by (2.1616947686987) to get x
29.95/2.1616947686987=x
13.85487=x
x=13.85487

now we have:
46.26% of 29.95=13.85487