8 is what percent of 7080 - 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 7080 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 7080, so we can write it down as 100%=7080.
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%=7080
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%=7080/8
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 7080

100%/x%=7080/8
(100/x)*x=(7080/8)*x       - we multiply both sides of the equation by x
100=885*x       - we divide both sides of the equation by (885) to get x
100/885=x
0.11299435028249=x
x=0.11299435028249

now we have:
8 is 0.11299435028249% of 7080