8 is what percent of 35.75 - 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 35.75 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 35.75, so we can write it down as 100%=35.75.
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%=35.75
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%=35.75/8
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 35.75

100%/x%=35.75/8
(100/x)*x=(35.75/8)*x       - we multiply both sides of the equation by x
100=4.46875*x       - we divide both sides of the equation by (4.46875) to get x
100/4.46875=x
22.377622377622=x
x=22.377622377622

now we have:
8 is 22.377622377622% of 35.75