8 is what percent of 4.64 - 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 4.64 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 4.64, so we can write it down as 100%=4.64.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=4.64
2) x%=8
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%=4.64/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 4.64

100%/x%=4.64/8
(100/x)*x=(4.64/8)*x       - we multiply both sides of the equation by x
100=0.58*x       - we divide both sides of the equation by (0.58) to get x
100/0.58=x
172.41379310345=x
x=172.41379310345

now we have:
8 is 172.41379310345% of 4.64