What is 28.96 percent of 404.38 - 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 404.38 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 404.38 is 100%, so we can write it down as 404.38=100%.
4. We know, that x is 28.96% of the output value, so we can write it down as x=28.96%.
5. Now we have two simple equations:
1) 404.38=100%
2) x=28.96%
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:
404.38/x=100%/28.96%
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 28.96% of 404.38

404.38/x=100/28.96
(404.38/x)*x=(100/28.96)*x       - we multiply both sides of the equation by x
404.38=3.4530386740331*x       - we divide both sides of the equation by (3.4530386740331) to get x
404.38/3.4530386740331=x
117.108448=x
x=117.108448

now we have:
28.96% of 404.38=117.108448