89.16 is what percent of 512 - 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 512 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 512, so we can write it down as 100%=512.
4. We know, that x% equals 89.16 of the output value, so we can write it down as x%=89.16.
5. Now we have two simple equations:
1) 100%=512
2) x%=89.16
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%=512/89.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.16 is what percent of 512

100%/x%=512/89.16
(100/x)*x=(512/89.16)*x       - we multiply both sides of the equation by x
100=5.7424854194706*x       - we divide both sides of the equation by (5.7424854194706) to get x
100/5.7424854194706=x
17.4140625=x
x=17.4140625

now we have:
89.16 is 17.4140625% of 512