What is 9.28 percent of 418 - 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 418 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 418 is 100%, so we can write it down as 418=100%.
4. We know, that x is 9.28% of the output value, so we can write it down as x=9.28%.
5. Now we have two simple equations:
1) 418=100%
2) x=9.28%
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:
418/x=100%/9.28%
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 9.28% of 418

418/x=100/9.28
(418/x)*x=(100/9.28)*x       - we multiply both sides of the equation by x
418=10.775862068966*x       - we divide both sides of the equation by (10.775862068966) to get x
418/10.775862068966=x
38.7904=x
x=38.7904

now we have:
9.28% of 418=38.7904