8 is what percent of 596 - 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 596 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 596, so we can write it down as 100%=596.
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%=596
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%=596/8
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 596

100%/x%=596/8
(100/x)*x=(596/8)*x       - we multiply both sides of the equation by x
100=74.5*x       - we divide both sides of the equation by (74.5) to get x
100/74.5=x
1.3422818791946=x
x=1.3422818791946

now we have:
8 is 1.3422818791946% of 596