8 is what percent of 204665 - 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 204665 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 204665, so we can write it down as 100%=204665.
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%=204665
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%=204665/8
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 204665

100%/x%=204665/8
(100/x)*x=(204665/8)*x       - we multiply both sides of the equation by x
100=25583.125*x       - we divide both sides of the equation by (25583.125) to get x
100/25583.125=x
0.0039088266191093=x
x=0.0039088266191093

now we have:
8 is 0.0039088266191093% of 204665