8 is what percent of 21.88 - 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 21.88 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 21.88, so we can write it down as 100%=21.88.
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%=21.88
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%=21.88/8
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 21.88

100%/x%=21.88/8
(100/x)*x=(21.88/8)*x       - we multiply both sides of the equation by x
100=2.735*x       - we divide both sides of the equation by (2.735) to get x
100/2.735=x
36.563071297989=x
x=36.563071297989

now we have:
8 is 36.563071297989% of 21.88