What is 29.6 percent of 50.2 - 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 50.2 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 50.2 is 100%, so we can write it down as 50.2=100%.
4. We know, that x is 29.6% of the output value, so we can write it down as x=29.6%.
5. Now we have two simple equations:
1) 50.2=100%
2) x=29.6%
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:
50.2/x=100%/29.6%
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 29.6% of 50.2

50.2/x=100/29.6
(50.2/x)*x=(100/29.6)*x       - we multiply both sides of the equation by x
50.2=3.3783783783784*x       - we divide both sides of the equation by (3.3783783783784) to get x
50.2/3.3783783783784=x
14.8592=x
x=14.8592

now we have:
29.6% of 50.2=14.8592