What is 61.6 percent of 38.4 - 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 38.4 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 38.4 is 100%, so we can write it down as 38.4=100%.
4. We know, that x is 61.6% of the output value, so we can write it down as x=61.6%.
5. Now we have two simple equations:
1) 38.4=100%
2) x=61.6%
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:
38.4/x=100%/61.6%
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 61.6% of 38.4

38.4/x=100/61.6
(38.4/x)*x=(100/61.6)*x       - we multiply both sides of the equation by x
38.4=1.6233766233766*x       - we divide both sides of the equation by (1.6233766233766) to get x
38.4/1.6233766233766=x
23.6544=x
x=23.6544

now we have:
61.6% of 38.4=23.6544