108.4 is what percent of 110 - 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 110 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 110, so we can write it down as 100%=110.
4. We know, that x% equals 108.4 of the output value, so we can write it down as x%=108.4.
5. Now we have two simple equations:
1) 100%=110
2) x%=108.4
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%=110/108.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.4 is what percent of 110

100%/x%=110/108.4
(100/x)*x=(110/108.4)*x       - we multiply both sides of the equation by x
100=1.0147601476015*x       - we divide both sides of the equation by (1.0147601476015) to get x
100/1.0147601476015=x
98.545454545455=x
x=98.545454545455

now we have:
108.4 is 98.545454545455% of 110