84.96 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 84.96 of the output value, so we can write it down as x%=84.96.
5. Now we have two simple equations:
1) 100%=110
2) x%=84.96
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%=110/84.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.96 is what percent of 110

100%/x%=110/84.96
(100/x)*x=(110/84.96)*x       - we multiply both sides of the equation by x
100=1.2947269303202*x       - we divide both sides of the equation by (1.2947269303202) to get x
100/1.2947269303202=x
77.236363636364=x
x=77.236363636364

now we have:
84.96 is 77.236363636364% of 110