86.4 is what percent of 1007.75 - 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 1007.75 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 1007.75, so we can write it down as 100%=1007.75.
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%=1007.75
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%=1007.75/86.4
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 1007.75

100%/x%=1007.75/86.4
(100/x)*x=(1007.75/86.4)*x       - we multiply both sides of the equation by x
100=11.663773148148*x       - we divide both sides of the equation by (11.663773148148) to get x
100/11.663773148148=x
8.5735549491441=x
x=8.5735549491441

now we have:
86.4 is 8.5735549491441% of 1007.75