8 is what percent of 114.9 - 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 114.9 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 114.9, so we can write it down as 100%=114.9.
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%=114.9
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%=114.9/8
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 114.9

100%/x%=114.9/8
(100/x)*x=(114.9/8)*x       - we multiply both sides of the equation by x
100=14.3625*x       - we divide both sides of the equation by (14.3625) to get x
100/14.3625=x
6.9625761531767=x
x=6.9625761531767

now we have:
8 is 6.9625761531767% of 114.9