8 is what percent of 33.57 - 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 33.57 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 33.57, so we can write it down as 100%=33.57.
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%=33.57
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%=33.57/8
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 33.57

100%/x%=33.57/8
(100/x)*x=(33.57/8)*x       - we multiply both sides of the equation by x
100=4.19625*x       - we divide both sides of the equation by (4.19625) to get x
100/4.19625=x
23.830801310694=x
x=23.830801310694

now we have:
8 is 23.830801310694% of 33.57