8 is what percent of 333.3333333333 - 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 333.3333333333 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 333.3333333333, so we can write it down as 100%=333.3333333333.
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%=333.3333333333
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%=333.3333333333/8
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 333.3333333333

100%/x%=333.3333333333/8
(100/x)*x=(333.3333333333/8)*x       - we multiply both sides of the equation by x
100=41.666666666663*x       - we divide both sides of the equation by (41.666666666663) to get x
100/41.666666666663=x
2.4000000000002=x
x=2.4000000000002

now we have:
8 is 2.4000000000002% of 333.3333333333