8 is what percent of 2983 - 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 2983 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 2983, so we can write it down as 100%=2983.
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%=2983
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%=2983/8
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 2983

100%/x%=2983/8
(100/x)*x=(2983/8)*x       - we multiply both sides of the equation by x
100=372.875*x       - we divide both sides of the equation by (372.875) to get x
100/372.875=x
0.26818638954073=x
x=0.26818638954073

now we have:
8 is 0.26818638954073% of 2983