82 is what percent of 11750 - 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 11750 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 11750, so we can write it down as 100%=11750.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=11750
2) x%=82
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%=11750/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 11750

100%/x%=11750/82
(100/x)*x=(11750/82)*x       - we multiply both sides of the equation by x
100=143.29268292683*x       - we divide both sides of the equation by (143.29268292683) to get x
100/143.29268292683=x
0.69787234042553=x
x=0.69787234042553

now we have:
82 is 0.69787234042553% of 11750