8 is what percent of 152.15 - 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 152.15 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 152.15, so we can write it down as 100%=152.15.
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%=152.15
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%=152.15/8
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 152.15

100%/x%=152.15/8
(100/x)*x=(152.15/8)*x       - we multiply both sides of the equation by x
100=19.01875*x       - we divide both sides of the equation by (19.01875) to get x
100/19.01875=x
5.2579691094315=x
x=5.2579691094315

now we have:
8 is 5.2579691094315% of 152.15