793 is what percent of 8 - 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 8 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 8, so we can write it down as 100%=8.
4. We know, that x% equals 793 of the output value, so we can write it down as x%=793.
5. Now we have two simple equations:
1) 100%=8
2) x%=793
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%=8/793
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 793 is what percent of 8

100%/x%=8/793
(100/x)*x=(8/793)*x       - we multiply both sides of the equation by x
100=0.010088272383354*x       - we divide both sides of the equation by (0.010088272383354) to get x
100/0.010088272383354=x
9912.5=x
x=9912.5

now we have:
793 is 9912.5% of 8