What is 37.02 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 37.02% of the output value, so we can write it down as x=37.02%.
5. Now we have two simple equations:
1) 29.95=100%
2) x=37.02%
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%/37.02%
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 37.02% of 29.95

29.95/x=100/37.02
(29.95/x)*x=(100/37.02)*x       - we multiply both sides of the equation by x
29.95=2.7012425715829*x       - we divide both sides of the equation by (2.7012425715829) to get x
29.95/2.7012425715829=x
11.08749=x
x=11.08749

now we have:
37.02% of 29.95=11.08749