What is 29.4 percent of 45.5 - 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 45.5 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 45.5 is 100%, so we can write it down as 45.5=100%.
4. We know, that x is 29.4% of the output value, so we can write it down as x=29.4%.
5. Now we have two simple equations:
1) 45.5=100%
2) x=29.4%
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:
45.5/x=100%/29.4%
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 29.4% of 45.5

45.5/x=100/29.4
(45.5/x)*x=(100/29.4)*x       - we multiply both sides of the equation by x
45.5=3.4013605442177*x       - we divide both sides of the equation by (3.4013605442177) to get x
45.5/3.4013605442177=x
13.377=x
x=13.377

now we have:
29.4% of 45.5=13.377