82.67 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 82.67 of the output value, so we can write it down as x%=82.67.
5. Now we have two simple equations:
1) 100%=110
2) x%=82.67
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%=110/82.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.67 is what percent of 110

100%/x%=110/82.67
(100/x)*x=(110/82.67)*x       - we multiply both sides of the equation by x
100=1.3305915084069*x       - we divide both sides of the equation by (1.3305915084069) to get x
100/1.3305915084069=x
75.154545454545=x
x=75.154545454545

now we have:
82.67 is 75.154545454545% of 110