8 is what percent of 9830 - 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 9830 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 9830, so we can write it down as 100%=9830.
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%=9830
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%=9830/8
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 9830

100%/x%=9830/8
(100/x)*x=(9830/8)*x       - we multiply both sides of the equation by x
100=1228.75*x       - we divide both sides of the equation by (1228.75) to get x
100/1228.75=x
0.081383519837233=x
x=0.081383519837233

now we have:
8 is 0.081383519837233% of 9830