86.4 is what percent of 110.4 - 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 110.4 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 100% equals 110.4, so we can write it down as 100%=110.4.
4. We know, that x% equals 86.4 of the output value, so we can write it down as x%=86.4.
5. Now we have two simple equations:
1) 100%=110.4
2) x%=86.4
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:
100%/x%=110.4/86.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.4 is what percent of 110.4

100%/x%=110.4/86.4
(100/x)*x=(110.4/86.4)*x       - we multiply both sides of the equation by x
100=1.2777777777778*x       - we divide both sides of the equation by (1.2777777777778) to get x
100/1.2777777777778=x
78.260869565217=x
x=78.260869565217

now we have:
86.4 is 78.260869565217% of 110.4