What is 2.4 percent of 1616.17 - 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 1616.17 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 1616.17 is 100%, so we can write it down as 1616.17=100%.
4. We know, that x is 2.4% of the output value, so we can write it down as x=2.4%.
5. Now we have two simple equations:
1) 1616.17=100%
2) x=2.4%
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:
1616.17/x=100%/2.4%
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 2.4% of 1616.17

1616.17/x=100/2.4
(1616.17/x)*x=(100/2.4)*x       - we multiply both sides of the equation by x
1616.17=41.666666666667*x       - we divide both sides of the equation by (41.666666666667) to get x
1616.17/41.666666666667=x
38.78808=x
x=38.78808

now we have:
2.4% of 1616.17=38.78808