What is 4.4 percent of 38.624 - 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 38.624 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 38.624 is 100%, so we can write it down as 38.624=100%.
4. We know, that x is 4.4% of the output value, so we can write it down as x=4.4%.
5. Now we have two simple equations:
1) 38.624=100%
2) x=4.4%
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:
38.624/x=100%/4.4%
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 4.4% of 38.624

38.624/x=100/4.4
(38.624/x)*x=(100/4.4)*x       - we multiply both sides of the equation by x
38.624=22.727272727273*x       - we divide both sides of the equation by (22.727272727273) to get x
38.624/22.727272727273=x
1.699456=x
x=1.699456

now we have:
4.4% of 38.624=1.699456