86.4 is what percent of 23 - 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 23 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 23, so we can write it down as 100%=23.
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%=23
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%=23/86.4
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 23

100%/x%=23/86.4
(100/x)*x=(23/86.4)*x       - we multiply both sides of the equation by x
100=0.2662037037037*x       - we divide both sides of the equation by (0.2662037037037) to get x
100/0.2662037037037=x
375.65217391304=x
x=375.65217391304

now we have:
86.4 is 375.65217391304% of 23