What is 9.15 percent of 436.8 - 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 436.8 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 436.8 is 100%, so we can write it down as 436.8=100%.
4. We know, that x is 9.15% of the output value, so we can write it down as x=9.15%.
5. Now we have two simple equations:
1) 436.8=100%
2) x=9.15%
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:
436.8/x=100%/9.15%
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 9.15% of 436.8

436.8/x=100/9.15
(436.8/x)*x=(100/9.15)*x       - we multiply both sides of the equation by x
436.8=10.928961748634*x       - we divide both sides of the equation by (10.928961748634) to get x
436.8/10.928961748634=x
39.9672=x
x=39.9672

now we have:
9.15% of 436.8=39.9672