85.75 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 85.75 of the output value, so we can write it down as x%=85.75.
5. Now we have two simple equations:
1) 100%=110
2) x%=85.75
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%=110/85.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.75 is what percent of 110

100%/x%=110/85.75
(100/x)*x=(110/85.75)*x       - we multiply both sides of the equation by x
100=1.2827988338192*x       - we divide both sides of the equation by (1.2827988338192) to get x
100/1.2827988338192=x
77.954545454545=x
x=77.954545454545

now we have:
85.75 is 77.954545454545% of 110