82.88 is what percent of 975 - 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 975 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 975, so we can write it down as 100%=975.
4. We know, that x% equals 82.88 of the output value, so we can write it down as x%=82.88.
5. Now we have two simple equations:
1) 100%=975
2) x%=82.88
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%=975/82.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.88 is what percent of 975

100%/x%=975/82.88
(100/x)*x=(975/82.88)*x       - we multiply both sides of the equation by x
100=11.763996138996*x       - we divide both sides of the equation by (11.763996138996) to get x
100/11.763996138996=x
8.5005128205128=x
x=8.5005128205128

now we have:
82.88 is 8.5005128205128% of 975