8 is what percent of 32.2 - 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 32.2 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 32.2, so we can write it down as 100%=32.2.
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%=32.2
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%=32.2/8
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 32.2

100%/x%=32.2/8
(100/x)*x=(32.2/8)*x       - we multiply both sides of the equation by x
100=4.025*x       - we divide both sides of the equation by (4.025) to get x
100/4.025=x
24.844720496894=x
x=24.844720496894

now we have:
8 is 24.844720496894% of 32.2