8 is what percent of 174.6 - 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 174.6 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 174.6, so we can write it down as 100%=174.6.
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%=174.6
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%=174.6/8
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 174.6

100%/x%=174.6/8
(100/x)*x=(174.6/8)*x       - we multiply both sides of the equation by x
100=21.825*x       - we divide both sides of the equation by (21.825) to get x
100/21.825=x
4.581901489118=x
x=4.581901489118

now we have:
8 is 4.581901489118% of 174.6