83.8 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 83.8 of the output value, so we can write it down as x%=83.8.
5. Now we have two simple equations:
1) 100%=110
2) x%=83.8
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%=110/83.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.8 is what percent of 110

100%/x%=110/83.8
(100/x)*x=(110/83.8)*x       - we multiply both sides of the equation by x
100=1.3126491646778*x       - we divide both sides of the equation by (1.3126491646778) to get x
100/1.3126491646778=x
76.181818181818=x
x=76.181818181818

now we have:
83.8 is 76.181818181818% of 110