What is 104 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 104% of the output value, so we can write it down as x=104%.
5. Now we have two simple equations:
1) 86.4=100%
2) x=104%
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%/104%
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 104% of 86.4

86.4/x=100/104
(86.4/x)*x=(100/104)*x       - we multiply both sides of the equation by x
86.4=0.96153846153846*x       - we divide both sides of the equation by (0.96153846153846) to get x
86.4/0.96153846153846=x
89.856=x
x=89.856

now we have:
104% of 86.4=89.856