What is 55 percent of 86.4 - 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 86.4 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 86.4 is 100%, so we can write it down as 86.4=100%.
4. We know, that x is 55% of the output value, so we can write it down as x=55%.
5. Now we have two simple equations:
1) 86.4=100%
2) x=55%
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:
86.4/x=100%/55%
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 55% of 86.4

86.4/x=100/55
(86.4/x)*x=(100/55)*x       - we multiply both sides of the equation by x
86.4=1.8181818181818*x       - we divide both sides of the equation by (1.8181818181818) to get x
86.4/1.8181818181818=x
47.52=x
x=47.52

now we have:
55% of 86.4=47.52