8 is what percent of 456.4 - 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 456.4 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 456.4, so we can write it down as 100%=456.4.
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%=456.4
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%=456.4/8
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 456.4

100%/x%=456.4/8
(100/x)*x=(456.4/8)*x       - we multiply both sides of the equation by x
100=57.05*x       - we divide both sides of the equation by (57.05) to get x
100/57.05=x
1.7528483786152=x
x=1.7528483786152

now we have:
8 is 1.7528483786152% of 456.4