86.4 is what percent of 182 - 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 182 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 182, so we can write it down as 100%=182.
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%=182
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%=182/86.4
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 182

100%/x%=182/86.4
(100/x)*x=(182/86.4)*x       - we multiply both sides of the equation by x
100=2.1064814814815*x       - we divide both sides of the equation by (2.1064814814815) to get x
100/2.1064814814815=x
47.472527472527=x
x=47.472527472527

now we have:
86.4 is 47.472527472527% of 182