8 is what percent of 1215 - 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 1215 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 1215, so we can write it down as 100%=1215.
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%=1215
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%=1215/8
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 1215

100%/x%=1215/8
(100/x)*x=(1215/8)*x       - we multiply both sides of the equation by x
100=151.875*x       - we divide both sides of the equation by (151.875) to get x
100/151.875=x
0.65843621399177=x
x=0.65843621399177

now we have:
8 is 0.65843621399177% of 1215