82.67 is what percent of 75 - 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 75 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 75, so we can write it down as 100%=75.
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%=75
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%=75/82.67
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 75

100%/x%=75/82.67
(100/x)*x=(75/82.67)*x       - we multiply both sides of the equation by x
100=0.90722148300472*x       - we divide both sides of the equation by (0.90722148300472) to get x
100/0.90722148300472=x
110.22666666667=x
x=110.22666666667

now we have:
82.67 is 110.22666666667% of 75