8 is what percent of 1029 - 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 1029 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 1029, so we can write it down as 100%=1029.
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%=1029
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%=1029/8
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 1029

100%/x%=1029/8
(100/x)*x=(1029/8)*x       - we multiply both sides of the equation by x
100=128.625*x       - we divide both sides of the equation by (128.625) to get x
100/128.625=x
0.77745383867833=x
x=0.77745383867833

now we have:
8 is 0.77745383867833% of 1029