82 is what percent of 117057 - 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 117057 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 117057, so we can write it down as 100%=117057.
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%=117057
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%=117057/82
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 117057

100%/x%=117057/82
(100/x)*x=(117057/82)*x       - we multiply both sides of the equation by x
100=1427.5243902439*x       - we divide both sides of the equation by (1427.5243902439) to get x
100/1427.5243902439=x
0.070051342508351=x
x=0.070051342508351

now we have:
82 is 0.070051342508351% of 117057