2.09 is what percent of 2.18 - 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 2.18 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 2.18, so we can write it down as 100%=2.18.
4. We know, that x% equals 2.09 of the output value, so we can write it down as x%=2.09.
5. Now we have two simple equations:
1) 100%=2.18
2) x%=2.09
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%=2.18/2.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.09 is what percent of 2.18

100%/x%=2.18/2.09
(100/x)*x=(2.18/2.09)*x       - we multiply both sides of the equation by x
100=1.0430622009569*x       - we divide both sides of the equation by (1.0430622009569) to get x
100/1.0430622009569=x
95.871559633028=x
x=95.871559633028

now we have:
2.09 is 95.871559633028% of 2.18