8 is what percent of 8.375 - 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 8.375 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 8.375, so we can write it down as 100%=8.375.
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%=8.375
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%=8.375/8
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 8.375

100%/x%=8.375/8
(100/x)*x=(8.375/8)*x       - we multiply both sides of the equation by x
100=1.046875*x       - we divide both sides of the equation by (1.046875) to get x
100/1.046875=x
95.522388059701=x
x=95.522388059701

now we have:
8 is 95.522388059701% of 8.375