218.8 is what percent of 208.5 - 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 208.5 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 208.5, so we can write it down as 100%=208.5.
4. We know, that x% equals 218.8 of the output value, so we can write it down as x%=218.8.
5. Now we have two simple equations:
1) 100%=208.5
2) x%=218.8
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%=208.5/218.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.8 is what percent of 208.5

100%/x%=208.5/218.8
(100/x)*x=(208.5/218.8)*x       - we multiply both sides of the equation by x
100=0.95292504570384*x       - we divide both sides of the equation by (0.95292504570384) to get x
100/0.95292504570384=x
104.94004796163=x
x=104.94004796163

now we have:
218.8 is 104.94004796163% of 208.5